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Finding the Fourth Proportional to 1,809.29, 2,711.70 and 1,029.93

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Solution

The fourth proportional to 1,809.29, 2,711.70 and 1,029.93 is: 1,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.29 : 2,711.70 = 1,029.93 : x
  2. Step 2: Convert to fraction form
    1,809.29/2,711.70 = 1,029.93/x
  3. Step 3: Cross multiply
    1,809.29x = 2,711.70 × 1,029.93
  4. Step 4: Simplify right side
    1,809.29x = 2,792,861.18
  5. Step 5: Solve for x
    x = 2,792,861.18/1,809.29
  6. Step 6: Final answer
    x = 1,543.63

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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.