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Finding the Fourth Proportional to 1,887.38, 2,830.98 and 910.52

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Solution

The fourth proportional to 1,887.38, 2,830.98 and 910.52 is: 1,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.38 : 2,830.98 = 910.52 : x
  2. Step 2: Convert to fraction form
    1,887.38/2,830.98 = 910.52/x
  3. Step 3: Cross multiply
    1,887.38x = 2,830.98 × 910.52
  4. Step 4: Simplify right side
    1,887.38x = 2,577,663.91
  5. Step 5: Solve for x
    x = 2,577,663.91/1,887.38
  6. Step 6: Final answer
    x = 1,365.74

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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.