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Finding the Fourth Proportional to 3,014.16, 4,159.02 and 1,687.68

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Solution

The fourth proportional to 3,014.16, 4,159.02 and 1,687.68 is: 2,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.16 : 4,159.02 = 1,687.68 : x
  2. Step 2: Convert to fraction form
    3,014.16/4,159.02 = 1,687.68/x
  3. Step 3: Cross multiply
    3,014.16x = 4,159.02 × 1,687.68
  4. Step 4: Simplify right side
    3,014.16x = 7,019,094.87
  5. Step 5: Solve for x
    x = 7,019,094.87/3,014.16
  6. Step 6: Final answer
    x = 2,328.71

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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.