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Finding the Fourth Proportional to 1,388.52, 1,911.78 and 1,127.40

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Solution

The fourth proportional to 1,388.52, 1,911.78 and 1,127.40 is: 1,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.52 : 1,911.78 = 1,127.40 : x
  2. Step 2: Convert to fraction form
    1,388.52/1,911.78 = 1,127.40/x
  3. Step 3: Cross multiply
    1,388.52x = 1,911.78 × 1,127.40
  4. Step 4: Simplify right side
    1,388.52x = 2,155,340.77
  5. Step 5: Solve for x
    x = 2,155,340.77/1,388.52
  6. Step 6: Final answer
    x = 1,552.26

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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.