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Finding the Fourth Proportional to 2,281.22, 3,421.93 and 637.86

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Solution

The fourth proportional to 2,281.22, 3,421.93 and 637.86 is: 956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.22 : 3,421.93 = 637.86 : x
  2. Step 2: Convert to fraction form
    2,281.22/3,421.93 = 637.86/x
  3. Step 3: Cross multiply
    2,281.22x = 3,421.93 × 637.86
  4. Step 4: Simplify right side
    2,281.22x = 2,182,712.27
  5. Step 5: Solve for x
    x = 2,182,712.27/2,281.22
  6. Step 6: Final answer
    x = 956.82

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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.