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Finding the Fourth Proportional to 2,526.23, 3,789.03 and 677.48

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Solution

The fourth proportional to 2,526.23, 3,789.03 and 677.48 is: 1,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.23 : 3,789.03 = 677.48 : x
  2. Step 2: Convert to fraction form
    2,526.23/3,789.03 = 677.48/x
  3. Step 3: Cross multiply
    2,526.23x = 3,789.03 × 677.48
  4. Step 4: Simplify right side
    2,526.23x = 2,566,973.10
  5. Step 5: Solve for x
    x = 2,566,973.10/2,526.23
  6. Step 6: Final answer
    x = 1,016.13

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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.