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Finding the Fourth Proportional to 1,744.08, 2,613.74 and 647.39

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Solution

The fourth proportional to 1,744.08, 2,613.74 and 647.39 is: 970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.08 : 2,613.74 = 647.39 : x
  2. Step 2: Convert to fraction form
    1,744.08/2,613.74 = 647.39/x
  3. Step 3: Cross multiply
    1,744.08x = 2,613.74 × 647.39
  4. Step 4: Simplify right side
    1,744.08x = 1,692,092.83
  5. Step 5: Solve for x
    x = 1,692,092.83/1,744.08
  6. Step 6: Final answer
    x = 970.19

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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.