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Finding the Fourth Proportional to 1,262.89, 1,883.98 and 1,174.51

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Solution

The fourth proportional to 1,262.89, 1,883.98 and 1,174.51 is: 1,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.89 : 1,883.98 = 1,174.51 : x
  2. Step 2: Convert to fraction form
    1,262.89/1,883.98 = 1,174.51/x
  3. Step 3: Cross multiply
    1,262.89x = 1,883.98 × 1,174.51
  4. Step 4: Simplify right side
    1,262.89x = 2,212,753.35
  5. Step 5: Solve for x
    x = 2,212,753.35/1,262.89
  6. Step 6: Final answer
    x = 1,752.13

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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.