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Finding the Fourth Proportional to 1,462.70, 2,017.40 and 1,042.67

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Solution

The fourth proportional to 1,462.70, 2,017.40 and 1,042.67 is: 1,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.70 : 2,017.40 = 1,042.67 : x
  2. Step 2: Convert to fraction form
    1,462.70/2,017.40 = 1,042.67/x
  3. Step 3: Cross multiply
    1,462.70x = 2,017.40 × 1,042.67
  4. Step 4: Simplify right side
    1,462.70x = 2,103,467.16
  5. Step 5: Solve for x
    x = 2,103,467.16/1,462.70
  6. Step 6: Final answer
    x = 1,438.08

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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.