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Finding the Fourth Proportional to 2,007.30, 3,010.95 and 964.13

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Solution

The fourth proportional to 2,007.30, 3,010.95 and 964.13 is: 1,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.30 : 3,010.95 = 964.13 : x
  2. Step 2: Convert to fraction form
    2,007.30/3,010.95 = 964.13/x
  3. Step 3: Cross multiply
    2,007.30x = 3,010.95 × 964.13
  4. Step 4: Simplify right side
    2,007.30x = 2,902,932.17
  5. Step 5: Solve for x
    x = 2,902,932.17/2,007.30
  6. Step 6: Final answer
    x = 1,446.19

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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.