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Finding the Fourth Proportional to 1,402.74, 1,934.91 and 1,010.28

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Solution

The fourth proportional to 1,402.74, 1,934.91 and 1,010.28 is: 1,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.74 : 1,934.91 = 1,010.28 : x
  2. Step 2: Convert to fraction form
    1,402.74/1,934.91 = 1,010.28/x
  3. Step 3: Cross multiply
    1,402.74x = 1,934.91 × 1,010.28
  4. Step 4: Simplify right side
    1,402.74x = 1,954,800.87
  5. Step 5: Solve for x
    x = 1,954,800.87/1,402.74
  6. Step 6: Final answer
    x = 1,393.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.