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Finding the Fourth Proportional to 1,562, 2,339.66 and 1,012.56

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Solution

The fourth proportional to 1,562, 2,339.66 and 1,012.56 is: 1,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562 : 2,339.66 = 1,012.56 : x
  2. Step 2: Convert to fraction form
    1,562/2,339.66 = 1,012.56/x
  3. Step 3: Cross multiply
    1,562x = 2,339.66 × 1,012.56
  4. Step 4: Simplify right side
    1,562x = 2,369,046.13
  5. Step 5: Solve for x
    x = 2,369,046.13/1,562
  6. Step 6: Final answer
    x = 1,516.67

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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.