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Finding the Fourth Proportional to 1,532.34, 2,113.56 and 943.11

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Solution

The fourth proportional to 1,532.34, 2,113.56 and 943.11 is: 1,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.34 : 2,113.56 = 943.11 : x
  2. Step 2: Convert to fraction form
    1,532.34/2,113.56 = 943.11/x
  3. Step 3: Cross multiply
    1,532.34x = 2,113.56 × 943.11
  4. Step 4: Simplify right side
    1,532.34x = 1,993,319.57
  5. Step 5: Solve for x
    x = 1,993,319.57/1,532.34
  6. Step 6: Final answer
    x = 1,300.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.