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Finding the Fourth Proportional to 2,569.40, 3,545.76 and 1,390.46

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Solution

The fourth proportional to 2,569.40, 3,545.76 and 1,390.46 is: 1,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.40 : 3,545.76 = 1,390.46 : x
  2. Step 2: Convert to fraction form
    2,569.40/3,545.76 = 1,390.46/x
  3. Step 3: Cross multiply
    2,569.40x = 3,545.76 × 1,390.46
  4. Step 4: Simplify right side
    2,569.40x = 4,930,237.45
  5. Step 5: Solve for x
    x = 4,930,237.45/2,569.40
  6. Step 6: Final answer
    x = 1,918.83

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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.