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Finding the Fourth Proportional to 1,402.49, 1,924.77 and 1,290.71

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Solution

The fourth proportional to 1,402.49, 1,924.77 and 1,290.71 is: 1,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.49 : 1,924.77 = 1,290.71 : x
  2. Step 2: Convert to fraction form
    1,402.49/1,924.77 = 1,290.71/x
  3. Step 3: Cross multiply
    1,402.49x = 1,924.77 × 1,290.71
  4. Step 4: Simplify right side
    1,402.49x = 2,484,324.70
  5. Step 5: Solve for x
    x = 2,484,324.70/1,402.49
  6. Step 6: Final answer
    x = 1,771.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.