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Finding the Fourth Proportional to 2,354.29, 3,531.18 and 967.77

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Solution

The fourth proportional to 2,354.29, 3,531.18 and 967.77 is: 1,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.29 : 3,531.18 = 967.77 : x
  2. Step 2: Convert to fraction form
    2,354.29/3,531.18 = 967.77/x
  3. Step 3: Cross multiply
    2,354.29x = 3,531.18 × 967.77
  4. Step 4: Simplify right side
    2,354.29x = 3,417,373.70
  5. Step 5: Solve for x
    x = 3,417,373.70/2,354.29
  6. Step 6: Final answer
    x = 1,451.55

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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.