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Finding the Fourth Proportional to 2,354.28, 3,531.75 and 710.64

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Solution

The fourth proportional to 2,354.28, 3,531.75 and 710.64 is: 1,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.28 : 3,531.75 = 710.64 : x
  2. Step 2: Convert to fraction form
    2,354.28/3,531.75 = 710.64/x
  3. Step 3: Cross multiply
    2,354.28x = 3,531.75 × 710.64
  4. Step 4: Simplify right side
    2,354.28x = 2,509,802.82
  5. Step 5: Solve for x
    x = 2,509,802.82/2,354.28
  6. Step 6: Final answer
    x = 1,066.06

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