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Finding the Fourth Proportional to 2,442.76, 3,664.62 and 711.40

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Solution

The fourth proportional to 2,442.76, 3,664.62 and 711.40 is: 1,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.76 : 3,664.62 = 711.40 : x
  2. Step 2: Convert to fraction form
    2,442.76/3,664.62 = 711.40/x
  3. Step 3: Cross multiply
    2,442.76x = 3,664.62 × 711.40
  4. Step 4: Simplify right side
    2,442.76x = 2,607,010.67
  5. Step 5: Solve for x
    x = 2,607,010.67/2,442.76
  6. Step 6: Final answer
    x = 1,067.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.