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Finding the Fourth Proportional to 1,887.90, 2,827.13 and 1,192.47

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Solution

The fourth proportional to 1,887.90, 2,827.13 and 1,192.47 is: 1,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.90 : 2,827.13 = 1,192.47 : x
  2. Step 2: Convert to fraction form
    1,887.90/2,827.13 = 1,192.47/x
  3. Step 3: Cross multiply
    1,887.90x = 2,827.13 × 1,192.47
  4. Step 4: Simplify right side
    1,887.90x = 3,371,261.75
  5. Step 5: Solve for x
    x = 3,371,261.75/1,887.90
  6. Step 6: Final answer
    x = 1,785.72

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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.