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Finding the Fourth Proportional to 1,744.08, 2,614.36 and 770.01

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Solution

The fourth proportional to 1,744.08, 2,614.36 and 770.01 is: 1,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.08 : 2,614.36 = 770.01 : x
  2. Step 2: Convert to fraction form
    1,744.08/2,614.36 = 770.01/x
  3. Step 3: Cross multiply
    1,744.08x = 2,614.36 × 770.01
  4. Step 4: Simplify right side
    1,744.08x = 2,013,083.34
  5. Step 5: Solve for x
    x = 2,013,083.34/1,744.08
  6. Step 6: Final answer
    x = 1,154.24

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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.