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Finding the Fourth Proportional to 2,354.34, 3,531.98 and 710.82

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Solution

The fourth proportional to 2,354.34, 3,531.98 and 710.82 is: 1,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.34 : 3,531.98 = 710.82 : x
  2. Step 2: Convert to fraction form
    2,354.34/3,531.98 = 710.82/x
  3. Step 3: Cross multiply
    2,354.34x = 3,531.98 × 710.82
  4. Step 4: Simplify right side
    2,354.34x = 2,510,602.02
  5. Step 5: Solve for x
    x = 2,510,602.02/2,354.34
  6. Step 6: Final answer
    x = 1,066.37

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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.