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Finding the Fourth Proportional to 1,388.92, 1,916.54 and 917.73

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Solution

The fourth proportional to 1,388.92, 1,916.54 and 917.73 is: 1,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.92 : 1,916.54 = 917.73 : x
  2. Step 2: Convert to fraction form
    1,388.92/1,916.54 = 917.73/x
  3. Step 3: Cross multiply
    1,388.92x = 1,916.54 × 917.73
  4. Step 4: Simplify right side
    1,388.92x = 1,758,862.53
  5. Step 5: Solve for x
    x = 1,758,862.53/1,388.92
  6. Step 6: Final answer
    x = 1,266.35

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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.