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Finding the Fourth Proportional to 1,442.52, 1,989 and 1,364.70

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Solution

The fourth proportional to 1,442.52, 1,989 and 1,364.70 is: 1,881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.52 : 1,989 = 1,364.70 : x
  2. Step 2: Convert to fraction form
    1,442.52/1,989 = 1,364.70/x
  3. Step 3: Cross multiply
    1,442.52x = 1,989 × 1,364.70
  4. Step 4: Simplify right side
    1,442.52x = 2,714,388.30
  5. Step 5: Solve for x
    x = 2,714,388.30/1,442.52
  6. Step 6: Final answer
    x = 1,881.70

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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.