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Finding the Fourth Proportional to 2,314.62, 3,472.01 and 1,770.16

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Solution

The fourth proportional to 2,314.62, 3,472.01 and 1,770.16 is: 2,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.62 : 3,472.01 = 1,770.16 : x
  2. Step 2: Convert to fraction form
    2,314.62/3,472.01 = 1,770.16/x
  3. Step 3: Cross multiply
    2,314.62x = 3,472.01 × 1,770.16
  4. Step 4: Simplify right side
    2,314.62x = 6,146,013.22
  5. Step 5: Solve for x
    x = 6,146,013.22/2,314.62
  6. Step 6: Final answer
    x = 2,655.30

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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.