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Finding the Fourth Proportional to 3,614.63, 5,424.17 and 1,666.98

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Solution

The fourth proportional to 3,614.63, 5,424.17 and 1,666.98 is: 2,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.63 : 5,424.17 = 1,666.98 : x
  2. Step 2: Convert to fraction form
    3,614.63/5,424.17 = 1,666.98/x
  3. Step 3: Cross multiply
    3,614.63x = 5,424.17 × 1,666.98
  4. Step 4: Simplify right side
    3,614.63x = 9,041,974.57
  5. Step 5: Solve for x
    x = 9,041,974.57/3,614.63
  6. Step 6: Final answer
    x = 2,501.50

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1.5x scale

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.