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Finding the Fourth Proportional to 2,526.48, 3,788 and 882.13

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Solution

The fourth proportional to 2,526.48, 3,788 and 882.13 is: 1,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.48 : 3,788 = 882.13 : x
  2. Step 2: Convert to fraction form
    2,526.48/3,788 = 882.13/x
  3. Step 3: Cross multiply
    2,526.48x = 3,788 × 882.13
  4. Step 4: Simplify right side
    2,526.48x = 3,341,489.50
  5. Step 5: Solve for x
    x = 3,341,489.50/2,526.48
  6. Step 6: Final answer
    x = 1,322.59

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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.