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Finding the Fourth Proportional to 1,877.51, 2,813.51 and 1,057.38

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Solution

The fourth proportional to 1,877.51, 2,813.51 and 1,057.38 is: 1,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.51 : 2,813.51 = 1,057.38 : x
  2. Step 2: Convert to fraction form
    1,877.51/2,813.51 = 1,057.38/x
  3. Step 3: Cross multiply
    1,877.51x = 2,813.51 × 1,057.38
  4. Step 4: Simplify right side
    1,877.51x = 2,974,949.20
  5. Step 5: Solve for x
    x = 2,974,949.20/1,877.51
  6. Step 6: Final answer
    x = 1,584.52

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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.