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Finding the Fourth Proportional to 2,124.69, 2,933.51 and 1,565.79

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Solution

The fourth proportional to 2,124.69, 2,933.51 and 1,565.79 is: 2,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.69 : 2,933.51 = 1,565.79 : x
  2. Step 2: Convert to fraction form
    2,124.69/2,933.51 = 1,565.79/x
  3. Step 3: Cross multiply
    2,124.69x = 2,933.51 × 1,565.79
  4. Step 4: Simplify right side
    2,124.69x = 4,593,252.79
  5. Step 5: Solve for x
    x = 4,593,252.79/2,124.69
  6. Step 6: Final answer
    x = 2,161.85

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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.