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Finding the Fourth Proportional to 1,461.70, 2,192.67 and 421.81

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Solution

The fourth proportional to 1,461.70, 2,192.67 and 421.81 is: 632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.70 : 2,192.67 = 421.81 : x
  2. Step 2: Convert to fraction form
    1,461.70/2,192.67 = 421.81/x
  3. Step 3: Cross multiply
    1,461.70x = 2,192.67 × 421.81
  4. Step 4: Simplify right side
    1,461.70x = 924,890.13
  5. Step 5: Solve for x
    x = 924,890.13/1,461.70
  6. Step 6: Final answer
    x = 632.75

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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.