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Finding the Fourth Proportional to 2,892.30, 4,330.14 and 1,702.74

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Solution

The fourth proportional to 2,892.30, 4,330.14 and 1,702.74 is: 2,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.30 : 4,330.14 = 1,702.74 : x
  2. Step 2: Convert to fraction form
    2,892.30/4,330.14 = 1,702.74/x
  3. Step 3: Cross multiply
    2,892.30x = 4,330.14 × 1,702.74
  4. Step 4: Simplify right side
    2,892.30x = 7,373,102.58
  5. Step 5: Solve for x
    x = 7,373,102.58/2,892.30
  6. Step 6: Final answer
    x = 2,549.22

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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.