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Finding the Fourth Proportional to 2,289.19, 3,432.79 and 882.76

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Solution

The fourth proportional to 2,289.19, 3,432.79 and 882.76 is: 1,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.19 : 3,432.79 = 882.76 : x
  2. Step 2: Convert to fraction form
    2,289.19/3,432.79 = 882.76/x
  3. Step 3: Cross multiply
    2,289.19x = 3,432.79 × 882.76
  4. Step 4: Simplify right side
    2,289.19x = 3,030,329.70
  5. Step 5: Solve for x
    x = 3,030,329.70/2,289.19
  6. Step 6: Final answer
    x = 1,323.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.