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Finding the Fourth Proportional to 3,215.50, 4,823.26 and 783.50

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Solution

The fourth proportional to 3,215.50, 4,823.26 and 783.50 is: 1,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.50 : 4,823.26 = 783.50 : x
  2. Step 2: Convert to fraction form
    3,215.50/4,823.26 = 783.50/x
  3. Step 3: Cross multiply
    3,215.50x = 4,823.26 × 783.50
  4. Step 4: Simplify right side
    3,215.50x = 3,779,024.21
  5. Step 5: Solve for x
    x = 3,779,024.21/3,215.50
  6. Step 6: Final answer
    x = 1,175.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.