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Finding the Fourth Proportional to 2,434.76, 3,649.68 and 1,049

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Solution

The fourth proportional to 2,434.76, 3,649.68 and 1,049 is: 1,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.76 : 3,649.68 = 1,049 : x
  2. Step 2: Convert to fraction form
    2,434.76/3,649.68 = 1,049/x
  3. Step 3: Cross multiply
    2,434.76x = 3,649.68 × 1,049
  4. Step 4: Simplify right side
    2,434.76x = 3,828,514.32
  5. Step 5: Solve for x
    x = 3,828,514.32/2,434.76
  6. Step 6: Final answer
    x = 1,572.44

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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.