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Finding the Fourth Proportional to 1,892.90, 2,613.12 and 1,263.80

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Solution

The fourth proportional to 1,892.90, 2,613.12 and 1,263.80 is: 1,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.90 : 2,613.12 = 1,263.80 : x
  2. Step 2: Convert to fraction form
    1,892.90/2,613.12 = 1,263.80/x
  3. Step 3: Cross multiply
    1,892.90x = 2,613.12 × 1,263.80
  4. Step 4: Simplify right side
    1,892.90x = 3,302,461.06
  5. Step 5: Solve for x
    x = 3,302,461.06/1,892.90
  6. Step 6: Final answer
    x = 1,744.66

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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.