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Finding the Fourth Proportional to 1,803.65, 2,705.49 and 1,439.15

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Solution

The fourth proportional to 1,803.65, 2,705.49 and 1,439.15 is: 2,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.65 : 2,705.49 = 1,439.15 : x
  2. Step 2: Convert to fraction form
    1,803.65/2,705.49 = 1,439.15/x
  3. Step 3: Cross multiply
    1,803.65x = 2,705.49 × 1,439.15
  4. Step 4: Simplify right side
    1,803.65x = 3,893,592.41
  5. Step 5: Solve for x
    x = 3,893,592.41/1,803.65
  6. Step 6: Final answer
    x = 2,158.74

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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.