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Finding the Fourth Proportional to 1,507.32, 2,260.04 and 986.69

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Solution

The fourth proportional to 1,507.32, 2,260.04 and 986.69 is: 1,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.32 : 2,260.04 = 986.69 : x
  2. Step 2: Convert to fraction form
    1,507.32/2,260.04 = 986.69/x
  3. Step 3: Cross multiply
    1,507.32x = 2,260.04 × 986.69
  4. Step 4: Simplify right side
    1,507.32x = 2,229,959.58
  5. Step 5: Solve for x
    x = 2,229,959.58/1,507.32
  6. Step 6: Final answer
    x = 1,479.42

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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.