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Finding the Fourth Proportional to 3,100.71, 4,278.24 and 1,756.35

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Solution

The fourth proportional to 3,100.71, 4,278.24 and 1,756.35 is: 2,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.71 : 4,278.24 = 1,756.35 : x
  2. Step 2: Convert to fraction form
    3,100.71/4,278.24 = 1,756.35/x
  3. Step 3: Cross multiply
    3,100.71x = 4,278.24 × 1,756.35
  4. Step 4: Simplify right side
    3,100.71x = 7,514,086.82
  5. Step 5: Solve for x
    x = 7,514,086.82/3,100.71
  6. Step 6: Final answer
    x = 2,423.34

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