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Finding the Fourth Proportional to 2,420.74, 3,632.72 and 881.74

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Solution

The fourth proportional to 2,420.74, 3,632.72 and 881.74 is: 1,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.74 : 3,632.72 = 881.74 : x
  2. Step 2: Convert to fraction form
    2,420.74/3,632.72 = 881.74/x
  3. Step 3: Cross multiply
    2,420.74x = 3,632.72 × 881.74
  4. Step 4: Simplify right side
    2,420.74x = 3,203,114.53
  5. Step 5: Solve for x
    x = 3,203,114.53/2,420.74
  6. Step 6: Final answer
    x = 1,323.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.