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Finding the Fourth Proportional to 1,810.54, 2,711.42 and 1,253.69

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Solution

The fourth proportional to 1,810.54, 2,711.42 and 1,253.69 is: 1,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.54 : 2,711.42 = 1,253.69 : x
  2. Step 2: Convert to fraction form
    1,810.54/2,711.42 = 1,253.69/x
  3. Step 3: Cross multiply
    1,810.54x = 2,711.42 × 1,253.69
  4. Step 4: Simplify right side
    1,810.54x = 3,399,280.14
  5. Step 5: Solve for x
    x = 3,399,280.14/1,810.54
  6. Step 6: Final answer
    x = 1,877.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.