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Finding the Fourth Proportional to 2,291.68, 3,437.64 and 648.40

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Solution

The fourth proportional to 2,291.68, 3,437.64 and 648.40 is: 972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.68 : 3,437.64 = 648.40 : x
  2. Step 2: Convert to fraction form
    2,291.68/3,437.64 = 648.40/x
  3. Step 3: Cross multiply
    2,291.68x = 3,437.64 × 648.40
  4. Step 4: Simplify right side
    2,291.68x = 2,228,965.78
  5. Step 5: Solve for x
    x = 2,228,965.78/2,291.68
  6. Step 6: Final answer
    x = 972.63

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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.