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Finding the Fourth Proportional to 1,823.37, 2,735.96 and 783.08

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Solution

The fourth proportional to 1,823.37, 2,735.96 and 783.08 is: 1,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.37 : 2,735.96 = 783.08 : x
  2. Step 2: Convert to fraction form
    1,823.37/2,735.96 = 783.08/x
  3. Step 3: Cross multiply
    1,823.37x = 2,735.96 × 783.08
  4. Step 4: Simplify right side
    1,823.37x = 2,142,457.96
  5. Step 5: Solve for x
    x = 2,142,457.96/1,823.37
  6. Step 6: Final answer
    x = 1,175.00

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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.