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Finding the Fourth Proportional to 2,632.55, 3,949.00 and 877.49

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Solution

The fourth proportional to 2,632.55, 3,949.00 and 877.49 is: 1,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.55 : 3,949.00 = 877.49 : x
  2. Step 2: Convert to fraction form
    2,632.55/3,949.00 = 877.49/x
  3. Step 3: Cross multiply
    2,632.55x = 3,949.00 × 877.49
  4. Step 4: Simplify right side
    2,632.55x = 3,465,186.07
  5. Step 5: Solve for x
    x = 3,465,186.07/2,632.55
  6. Step 6: Final answer
    x = 1,316.28

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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.