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Finding the Fourth Proportional to 2,638.71, 3,641.18 and 1,459.76

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Solution

The fourth proportional to 2,638.71, 3,641.18 and 1,459.76 is: 2,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.71 : 3,641.18 = 1,459.76 : x
  2. Step 2: Convert to fraction form
    2,638.71/3,641.18 = 1,459.76/x
  3. Step 3: Cross multiply
    2,638.71x = 3,641.18 × 1,459.76
  4. Step 4: Simplify right side
    2,638.71x = 5,315,223.41
  5. Step 5: Solve for x
    x = 5,315,223.41/2,638.71
  6. Step 6: Final answer
    x = 2,014.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.