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Finding the Fourth Proportional to 2,007.42, 3,010.32 and 708.18

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Solution

The fourth proportional to 2,007.42, 3,010.32 and 708.18 is: 1,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.42 : 3,010.32 = 708.18 : x
  2. Step 2: Convert to fraction form
    2,007.42/3,010.32 = 708.18/x
  3. Step 3: Cross multiply
    2,007.42x = 3,010.32 × 708.18
  4. Step 4: Simplify right side
    2,007.42x = 2,131,848.42
  5. Step 5: Solve for x
    x = 2,131,848.42/2,007.42
  6. Step 6: Final answer
    x = 1,061.98

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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.