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Finding the Fourth Proportional to 2,354.53, 3,532.13 and 710.89

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Solution

The fourth proportional to 2,354.53, 3,532.13 and 710.89 is: 1,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.53 : 3,532.13 = 710.89 : x
  2. Step 2: Convert to fraction form
    2,354.53/3,532.13 = 710.89/x
  3. Step 3: Cross multiply
    2,354.53x = 3,532.13 × 710.89
  4. Step 4: Simplify right side
    2,354.53x = 2,510,955.90
  5. Step 5: Solve for x
    x = 2,510,955.90/2,354.53
  6. Step 6: Final answer
    x = 1,066.44

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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.