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Finding the Fourth Proportional to 1,292.78, 1,938.45 and 882.38

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Solution

The fourth proportional to 1,292.78, 1,938.45 and 882.38 is: 1,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.78 : 1,938.45 = 882.38 : x
  2. Step 2: Convert to fraction form
    1,292.78/1,938.45 = 882.38/x
  3. Step 3: Cross multiply
    1,292.78x = 1,938.45 × 882.38
  4. Step 4: Simplify right side
    1,292.78x = 1,710,439.82
  5. Step 5: Solve for x
    x = 1,710,439.82/1,292.78
  6. Step 6: Final answer
    x = 1,323.08

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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.