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Finding the Fourth Proportional to 2,527.44, 3,488.52 and 1,645.44

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Solution

The fourth proportional to 2,527.44, 3,488.52 and 1,645.44 is: 2,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.44 : 3,488.52 = 1,645.44 : x
  2. Step 2: Convert to fraction form
    2,527.44/3,488.52 = 1,645.44/x
  3. Step 3: Cross multiply
    2,527.44x = 3,488.52 × 1,645.44
  4. Step 4: Simplify right side
    2,527.44x = 5,740,150.35
  5. Step 5: Solve for x
    x = 5,740,150.35/2,527.44
  6. Step 6: Final answer
    x = 2,271.13

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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.