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Finding the Fourth Proportional to 1,876.77, 2,801.41 and 1,655.09

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Solution

The fourth proportional to 1,876.77, 2,801.41 and 1,655.09 is: 2,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.77 : 2,801.41 = 1,655.09 : x
  2. Step 2: Convert to fraction form
    1,876.77/2,801.41 = 1,655.09/x
  3. Step 3: Cross multiply
    1,876.77x = 2,801.41 × 1,655.09
  4. Step 4: Simplify right side
    1,876.77x = 4,636,600.00
  5. Step 5: Solve for x
    x = 4,636,600.00/1,876.77
  6. Step 6: Final answer
    x = 2,470.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.