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Finding the Fourth Proportional to 3,160.62, 4,737.29 and 1,699.38

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Solution

The fourth proportional to 3,160.62, 4,737.29 and 1,699.38 is: 2,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.62 : 4,737.29 = 1,699.38 : x
  2. Step 2: Convert to fraction form
    3,160.62/4,737.29 = 1,699.38/x
  3. Step 3: Cross multiply
    3,160.62x = 4,737.29 × 1,699.38
  4. Step 4: Simplify right side
    3,160.62x = 8,050,447.38
  5. Step 5: Solve for x
    x = 8,050,447.38/3,160.62
  6. Step 6: Final answer
    x = 2,547.11

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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.