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Finding the Fourth Proportional to 2,048.68, 3,070.56 and 749.44

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Solution

The fourth proportional to 2,048.68, 3,070.56 and 749.44 is: 1,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.68 : 3,070.56 = 749.44 : x
  2. Step 2: Convert to fraction form
    2,048.68/3,070.56 = 749.44/x
  3. Step 3: Cross multiply
    2,048.68x = 3,070.56 × 749.44
  4. Step 4: Simplify right side
    2,048.68x = 2,301,200.49
  5. Step 5: Solve for x
    x = 2,301,200.49/2,048.68
  6. Step 6: Final answer
    x = 1,123.26

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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.