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Finding the Fourth Proportional to 2,337.64, 3,507.91 and 877.82

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Solution

The fourth proportional to 2,337.64, 3,507.91 and 877.82 is: 1,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.64 : 3,507.91 = 877.82 : x
  2. Step 2: Convert to fraction form
    2,337.64/3,507.91 = 877.82/x
  3. Step 3: Cross multiply
    2,337.64x = 3,507.91 × 877.82
  4. Step 4: Simplify right side
    2,337.64x = 3,079,293.82
  5. Step 5: Solve for x
    x = 3,079,293.82/2,337.64
  6. Step 6: Final answer
    x = 1,317.27

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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.