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Finding the Fourth Proportional to 3,160.16, 4,740.10 and 1,702.16

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Solution

The fourth proportional to 3,160.16, 4,740.10 and 1,702.16 is: 2,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.16 : 4,740.10 = 1,702.16 : x
  2. Step 2: Convert to fraction form
    3,160.16/4,740.10 = 1,702.16/x
  3. Step 3: Cross multiply
    3,160.16x = 4,740.10 × 1,702.16
  4. Step 4: Simplify right side
    3,160.16x = 8,068,408.62
  5. Step 5: Solve for x
    x = 8,068,408.62/3,160.16
  6. Step 6: Final answer
    x = 2,553.16

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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.