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Finding the Fourth Proportional to 2,354.05, 3,531.63 and 710.61

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Solution

The fourth proportional to 2,354.05, 3,531.63 and 710.61 is: 1,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.05 : 3,531.63 = 710.61 : x
  2. Step 2: Convert to fraction form
    2,354.05/3,531.63 = 710.61/x
  3. Step 3: Cross multiply
    2,354.05x = 3,531.63 × 710.61
  4. Step 4: Simplify right side
    2,354.05x = 2,509,611.59
  5. Step 5: Solve for x
    x = 2,509,611.59/2,354.05
  6. Step 6: Final answer
    x = 1,066.08

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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.