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Finding the Fourth Proportional to 4,100.32, 6,146.83 and 1,502.65

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Solution

The fourth proportional to 4,100.32, 6,146.83 and 1,502.65 is: 2,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.32 : 6,146.83 = 1,502.65 : x
  2. Step 2: Convert to fraction form
    4,100.32/6,146.83 = 1,502.65/x
  3. Step 3: Cross multiply
    4,100.32x = 6,146.83 × 1,502.65
  4. Step 4: Simplify right side
    4,100.32x = 9,236,534.10
  5. Step 5: Solve for x
    x = 9,236,534.10/4,100.32
  6. Step 6: Final answer
    x = 2,252.64

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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.