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Finding the Fourth Proportional to 3,001.64, 4,501.31 and 1,440.65

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Solution

The fourth proportional to 3,001.64, 4,501.31 and 1,440.65 is: 2,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.64 : 4,501.31 = 1,440.65 : x
  2. Step 2: Convert to fraction form
    3,001.64/4,501.31 = 1,440.65/x
  3. Step 3: Cross multiply
    3,001.64x = 4,501.31 × 1,440.65
  4. Step 4: Simplify right side
    3,001.64x = 6,484,816.30
  5. Step 5: Solve for x
    x = 6,484,816.30/3,001.64
  6. Step 6: Final answer
    x = 2,160.43

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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.