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Finding the Fourth Proportional to 1,462.70, 2,014.46 and 1,458.24

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Solution

The fourth proportional to 1,462.70, 2,014.46 and 1,458.24 is: 2,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.70 : 2,014.46 = 1,458.24 : x
  2. Step 2: Convert to fraction form
    1,462.70/2,014.46 = 1,458.24/x
  3. Step 3: Cross multiply
    1,462.70x = 2,014.46 × 1,458.24
  4. Step 4: Simplify right side
    1,462.70x = 2,937,558.86
  5. Step 5: Solve for x
    x = 2,937,558.86/1,462.70
  6. Step 6: Final answer
    x = 2,008.32

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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.