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Finding the Fourth Proportional to 2,569.88, 3,854.82 and 1,473.49

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Solution

The fourth proportional to 2,569.88, 3,854.82 and 1,473.49 is: 2,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.88 : 3,854.82 = 1,473.49 : x
  2. Step 2: Convert to fraction form
    2,569.88/3,854.82 = 1,473.49/x
  3. Step 3: Cross multiply
    2,569.88x = 3,854.82 × 1,473.49
  4. Step 4: Simplify right side
    2,569.88x = 5,680,038.72
  5. Step 5: Solve for x
    x = 5,680,038.72/2,569.88
  6. Step 6: Final answer
    x = 2,210.24

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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.