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Finding the Fourth Proportional to 2,172.20, 3,259.98 and 874.76

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Solution

The fourth proportional to 2,172.20, 3,259.98 and 874.76 is: 1,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.20 : 3,259.98 = 874.76 : x
  2. Step 2: Convert to fraction form
    2,172.20/3,259.98 = 874.76/x
  3. Step 3: Cross multiply
    2,172.20x = 3,259.98 × 874.76
  4. Step 4: Simplify right side
    2,172.20x = 2,851,700.10
  5. Step 5: Solve for x
    x = 2,851,700.10/2,172.20
  6. Step 6: Final answer
    x = 1,312.82

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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.