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Finding the Fourth Proportional to 2,684, 3,703.93 and 1,565.71

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Solution

The fourth proportional to 2,684, 3,703.93 and 1,565.71 is: 2,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684 : 3,703.93 = 1,565.71 : x
  2. Step 2: Convert to fraction form
    2,684/3,703.93 = 1,565.71/x
  3. Step 3: Cross multiply
    2,684x = 3,703.93 × 1,565.71
  4. Step 4: Simplify right side
    2,684x = 5,799,280.24
  5. Step 5: Solve for x
    x = 5,799,280.24/2,684
  6. Step 6: Final answer
    x = 2,160.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.