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Finding the Fourth Proportional to 2,281.30, 3,422.08 and 637.82

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Solution

The fourth proportional to 2,281.30, 3,422.08 and 637.82 is: 956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.30 : 3,422.08 = 637.82 : x
  2. Step 2: Convert to fraction form
    2,281.30/3,422.08 = 637.82/x
  3. Step 3: Cross multiply
    2,281.30x = 3,422.08 × 637.82
  4. Step 4: Simplify right side
    2,281.30x = 2,182,671.07
  5. Step 5: Solve for x
    x = 2,182,671.07/2,281.30
  6. Step 6: Final answer
    x = 956.77

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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.