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Finding the Fourth Proportional to 3,070.68, 4,237.44 and 1,744.68

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Solution

The fourth proportional to 3,070.68, 4,237.44 and 1,744.68 is: 2,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.68 : 4,237.44 = 1,744.68 : x
  2. Step 2: Convert to fraction form
    3,070.68/4,237.44 = 1,744.68/x
  3. Step 3: Cross multiply
    3,070.68x = 4,237.44 × 1,744.68
  4. Step 4: Simplify right side
    3,070.68x = 7,392,976.82
  5. Step 5: Solve for x
    x = 7,392,976.82/3,070.68
  6. Step 6: Final answer
    x = 2,407.60

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1.5x scale

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.