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Finding the Fourth Proportional to 1,552.44, 2,330.03 and 1,309.14

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Solution

The fourth proportional to 1,552.44, 2,330.03 and 1,309.14 is: 1,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.44 : 2,330.03 = 1,309.14 : x
  2. Step 2: Convert to fraction form
    1,552.44/2,330.03 = 1,309.14/x
  3. Step 3: Cross multiply
    1,552.44x = 2,330.03 × 1,309.14
  4. Step 4: Simplify right side
    1,552.44x = 3,050,335.47
  5. Step 5: Solve for x
    x = 3,050,335.47/1,552.44
  6. Step 6: Final answer
    x = 1,964.87

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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.