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Finding the Fourth Proportional to 3,101.13, 4,279 and 1,756.74

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Solution

The fourth proportional to 3,101.13, 4,279 and 1,756.74 is: 2,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.13 : 4,279 = 1,756.74 : x
  2. Step 2: Convert to fraction form
    3,101.13/4,279 = 1,756.74/x
  3. Step 3: Cross multiply
    3,101.13x = 4,279 × 1,756.74
  4. Step 4: Simplify right side
    3,101.13x = 7,517,090.46
  5. Step 5: Solve for x
    x = 7,517,090.46/3,101.13
  6. Step 6: Final answer
    x = 2,423.98

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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.