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Finding the Fourth Proportional to 2,024.34, 3,036.30 and 707.85

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Solution

The fourth proportional to 2,024.34, 3,036.30 and 707.85 is: 1,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.34 : 3,036.30 = 707.85 : x
  2. Step 2: Convert to fraction form
    2,024.34/3,036.30 = 707.85/x
  3. Step 3: Cross multiply
    2,024.34x = 3,036.30 × 707.85
  4. Step 4: Simplify right side
    2,024.34x = 2,149,232.83
  5. Step 5: Solve for x
    x = 2,149,232.83/2,024.34
  6. Step 6: Final answer
    x = 1,061.70

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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.