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Finding the Fourth Proportional to 1,462.60, 2,175.09 and 1,416.47

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Solution

The fourth proportional to 1,462.60, 2,175.09 and 1,416.47 is: 2,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.60 : 2,175.09 = 1,416.47 : x
  2. Step 2: Convert to fraction form
    1,462.60/2,175.09 = 1,416.47/x
  3. Step 3: Cross multiply
    1,462.60x = 2,175.09 × 1,416.47
  4. Step 4: Simplify right side
    1,462.60x = 3,080,938.86
  5. Step 5: Solve for x
    x = 3,080,938.86/1,462.60
  6. Step 6: Final answer
    x = 2,106.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.