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Finding the Fourth Proportional to 2,343.76, 3,513.80 and 882.74

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Solution

The fourth proportional to 2,343.76, 3,513.80 and 882.74 is: 1,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.76 : 3,513.80 = 882.74 : x
  2. Step 2: Convert to fraction form
    2,343.76/3,513.80 = 882.74/x
  3. Step 3: Cross multiply
    2,343.76x = 3,513.80 × 882.74
  4. Step 4: Simplify right side
    2,343.76x = 3,101,771.81
  5. Step 5: Solve for x
    x = 3,101,771.81/2,343.76
  6. Step 6: Final answer
    x = 1,323.42

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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.