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Finding the Fourth Proportional to 3,014.56, 4,160.07 and 1,688.32

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Solution

The fourth proportional to 3,014.56, 4,160.07 and 1,688.32 is: 2,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.56 : 4,160.07 = 1,688.32 : x
  2. Step 2: Convert to fraction form
    3,014.56/4,160.07 = 1,688.32/x
  3. Step 3: Cross multiply
    3,014.56x = 4,160.07 × 1,688.32
  4. Step 4: Simplify right side
    3,014.56x = 7,023,529.38
  5. Step 5: Solve for x
    x = 7,023,529.38/3,014.56
  6. Step 6: Final answer
    x = 2,329.87

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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.