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Finding the Fourth Proportional to 2,343.86, 3,513.07 and 882.08

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Solution

The fourth proportional to 2,343.86, 3,513.07 and 882.08 is: 1,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.86 : 3,513.07 = 882.08 : x
  2. Step 2: Convert to fraction form
    2,343.86/3,513.07 = 882.08/x
  3. Step 3: Cross multiply
    2,343.86x = 3,513.07 × 882.08
  4. Step 4: Simplify right side
    2,343.86x = 3,098,808.79
  5. Step 5: Solve for x
    x = 3,098,808.79/2,343.86
  6. Step 6: Final answer
    x = 1,322.10

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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.