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Finding the Fourth Proportional to 1,872.27, 2,810.13 and 948.47

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Solution

The fourth proportional to 1,872.27, 2,810.13 and 948.47 is: 1,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.27 : 2,810.13 = 948.47 : x
  2. Step 2: Convert to fraction form
    1,872.27/2,810.13 = 948.47/x
  3. Step 3: Cross multiply
    1,872.27x = 2,810.13 × 948.47
  4. Step 4: Simplify right side
    1,872.27x = 2,665,324.00
  5. Step 5: Solve for x
    x = 2,665,324.00/1,872.27
  6. Step 6: Final answer
    x = 1,423.58

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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.