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Finding the Fourth Proportional to 1,750.20, 2,415.22 and 964.24

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Solution

The fourth proportional to 1,750.20, 2,415.22 and 964.24 is: 1,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.20 : 2,415.22 = 964.24 : x
  2. Step 2: Convert to fraction form
    1,750.20/2,415.22 = 964.24/x
  3. Step 3: Cross multiply
    1,750.20x = 2,415.22 × 964.24
  4. Step 4: Simplify right side
    1,750.20x = 2,328,851.73
  5. Step 5: Solve for x
    x = 2,328,851.73/1,750.20
  6. Step 6: Final answer
    x = 1,330.62

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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.