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Finding the Fourth Proportional to 2,526.39, 3,788.82 and 882.63

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Solution

The fourth proportional to 2,526.39, 3,788.82 and 882.63 is: 1,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.39 : 3,788.82 = 882.63 : x
  2. Step 2: Convert to fraction form
    2,526.39/3,788.82 = 882.63/x
  3. Step 3: Cross multiply
    2,526.39x = 3,788.82 × 882.63
  4. Step 4: Simplify right side
    2,526.39x = 3,344,126.20
  5. Step 5: Solve for x
    x = 3,344,126.20/2,526.39
  6. Step 6: Final answer
    x = 1,323.68

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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.