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Finding the Fourth Proportional to 2,526.02, 3,789.33 and 882.93

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Solution

The fourth proportional to 2,526.02, 3,789.33 and 882.93 is: 1,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.02 : 3,789.33 = 882.93 : x
  2. Step 2: Convert to fraction form
    2,526.02/3,789.33 = 882.93/x
  3. Step 3: Cross multiply
    2,526.02x = 3,789.33 × 882.93
  4. Step 4: Simplify right side
    2,526.02x = 3,345,713.14
  5. Step 5: Solve for x
    x = 3,345,713.14/2,526.02
  6. Step 6: Final answer
    x = 1,324.50

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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.