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Finding the Fourth Proportional to 1,753.60, 2,418.24 and 1,360.48

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Solution

The fourth proportional to 1,753.60, 2,418.24 and 1,360.48 is: 1,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.60 : 2,418.24 = 1,360.48 : x
  2. Step 2: Convert to fraction form
    1,753.60/2,418.24 = 1,360.48/x
  3. Step 3: Cross multiply
    1,753.60x = 2,418.24 × 1,360.48
  4. Step 4: Simplify right side
    1,753.60x = 3,289,967.16
  5. Step 5: Solve for x
    x = 3,289,967.16/1,753.60
  6. Step 6: Final answer
    x = 1,876.12

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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.