Home / 2,442.16-3,663.86-981.43

Finding the Fourth Proportional to 2,442.16, 3,663.86 and 981.43

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Solution

The fourth proportional to 2,442.16, 3,663.86 and 981.43 is: 1,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.16 : 3,663.86 = 981.43 : x
  2. Step 2: Convert to fraction form
    2,442.16/3,663.86 = 981.43/x
  3. Step 3: Cross multiply
    2,442.16x = 3,663.86 × 981.43
  4. Step 4: Simplify right side
    2,442.16x = 3,595,808.05
  5. Step 5: Solve for x
    x = 3,595,808.05/2,442.16
  6. Step 6: Final answer
    x = 1,472.39

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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.