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Finding the Fourth Proportional to 1,810.81, 2,496.03 and 1,478.65

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Solution

The fourth proportional to 1,810.81, 2,496.03 and 1,478.65 is: 2,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.81 : 2,496.03 = 1,478.65 : x
  2. Step 2: Convert to fraction form
    1,810.81/2,496.03 = 1,478.65/x
  3. Step 3: Cross multiply
    1,810.81x = 2,496.03 × 1,478.65
  4. Step 4: Simplify right side
    1,810.81x = 3,690,754.76
  5. Step 5: Solve for x
    x = 3,690,754.76/1,810.81
  6. Step 6: Final answer
    x = 2,038.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.