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Finding the Fourth Proportional to 2,632.84, 3,948.76 and 877.58

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Solution

The fourth proportional to 2,632.84, 3,948.76 and 877.58 is: 1,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.84 : 3,948.76 = 877.58 : x
  2. Step 2: Convert to fraction form
    2,632.84/3,948.76 = 877.58/x
  3. Step 3: Cross multiply
    2,632.84x = 3,948.76 × 877.58
  4. Step 4: Simplify right side
    2,632.84x = 3,465,352.80
  5. Step 5: Solve for x
    x = 3,465,352.80/2,632.84
  6. Step 6: Final answer
    x = 1,316.20

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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.