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Finding the Fourth Proportional to 2,569.54, 3,545.94 and 1,390.59

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Solution

The fourth proportional to 2,569.54, 3,545.94 and 1,390.59 is: 1,919.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.54 : 3,545.94 = 1,390.59 : x
  2. Step 2: Convert to fraction form
    2,569.54/3,545.94 = 1,390.59/x
  3. Step 3: Cross multiply
    2,569.54x = 3,545.94 × 1,390.59
  4. Step 4: Simplify right side
    2,569.54x = 4,930,948.70
  5. Step 5: Solve for x
    x = 4,930,948.70/2,569.54
  6. Step 6: Final answer
    x = 1,919.00

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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.