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Finding the Fourth Proportional to 2,343.12, 3,516.02 and 882.21

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Solution

The fourth proportional to 2,343.12, 3,516.02 and 882.21 is: 1,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.12 : 3,516.02 = 882.21 : x
  2. Step 2: Convert to fraction form
    2,343.12/3,516.02 = 882.21/x
  3. Step 3: Cross multiply
    2,343.12x = 3,516.02 × 882.21
  4. Step 4: Simplify right side
    2,343.12x = 3,101,868.00
  5. Step 5: Solve for x
    x = 3,101,868.00/2,343.12
  6. Step 6: Final answer
    x = 1,323.82

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1.5x scale

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.