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Finding the Fourth Proportional to 1,862.78, 2,569.88 and 1,154.39

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Solution

The fourth proportional to 1,862.78, 2,569.88 and 1,154.39 is: 1,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.78 : 2,569.88 = 1,154.39 : x
  2. Step 2: Convert to fraction form
    1,862.78/2,569.88 = 1,154.39/x
  3. Step 3: Cross multiply
    1,862.78x = 2,569.88 × 1,154.39
  4. Step 4: Simplify right side
    1,862.78x = 2,966,633.81
  5. Step 5: Solve for x
    x = 2,966,633.81/1,862.78
  6. Step 6: Final answer
    x = 1,592.59

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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.