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Finding the Fourth Proportional to 1,462.17, 2,192.59 and 421.93

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Solution

The fourth proportional to 1,462.17, 2,192.59 and 421.93 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.17 : 2,192.59 = 421.93 : x
  2. Step 2: Convert to fraction form
    1,462.17/2,192.59 = 421.93/x
  3. Step 3: Cross multiply
    1,462.17x = 2,192.59 × 421.93
  4. Step 4: Simplify right side
    1,462.17x = 925,119.50
  5. Step 5: Solve for x
    x = 925,119.50/1,462.17
  6. Step 6: Final answer
    x = 632.70

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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.