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Finding the Fourth Proportional to 1,953.45, 2,928.26 and 783.14

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Solution

The fourth proportional to 1,953.45, 2,928.26 and 783.14 is: 1,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.45 : 2,928.26 = 783.14 : x
  2. Step 2: Convert to fraction form
    1,953.45/2,928.26 = 783.14/x
  3. Step 3: Cross multiply
    1,953.45x = 2,928.26 × 783.14
  4. Step 4: Simplify right side
    1,953.45x = 2,293,224.85
  5. Step 5: Solve for x
    x = 2,293,224.85/1,953.45
  6. Step 6: Final answer
    x = 1,173.94

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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.