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Finding the Fourth Proportional to 2,874.88, 4,291.64 and 2,437.60

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Solution

The fourth proportional to 2,874.88, 4,291.64 and 2,437.60 is: 3,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.88 : 4,291.64 = 2,437.60 : x
  2. Step 2: Convert to fraction form
    2,874.88/4,291.64 = 2,437.60/x
  3. Step 3: Cross multiply
    2,874.88x = 4,291.64 × 2,437.60
  4. Step 4: Simplify right side
    2,874.88x = 10,461,301.66
  5. Step 5: Solve for x
    x = 10,461,301.66/2,874.88
  6. Step 6: Final answer
    x = 3,638.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.