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Finding the Fourth Proportional to 1,689.87, 2,534.76 and 949.48

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Solution

The fourth proportional to 1,689.87, 2,534.76 and 949.48 is: 1,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.87 : 2,534.76 = 949.48 : x
  2. Step 2: Convert to fraction form
    1,689.87/2,534.76 = 949.48/x
  3. Step 3: Cross multiply
    1,689.87x = 2,534.76 × 949.48
  4. Step 4: Simplify right side
    1,689.87x = 2,406,697.59
  5. Step 5: Solve for x
    x = 2,406,697.59/1,689.87
  6. Step 6: Final answer
    x = 1,424.19

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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.