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Finding the Fourth Proportional to 3,003.60, 4,502.79 and 1,442.82

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Solution

The fourth proportional to 3,003.60, 4,502.79 and 1,442.82 is: 2,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.60 : 4,502.79 = 1,442.82 : x
  2. Step 2: Convert to fraction form
    3,003.60/4,502.79 = 1,442.82/x
  3. Step 3: Cross multiply
    3,003.60x = 4,502.79 × 1,442.82
  4. Step 4: Simplify right side
    3,003.60x = 6,496,715.47
  5. Step 5: Solve for x
    x = 6,496,715.47/3,003.60
  6. Step 6: Final answer
    x = 2,162.98

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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.