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Finding the Fourth Proportional to 1,232.77, 1,845.74 and 1,026.68

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Solution

The fourth proportional to 1,232.77, 1,845.74 and 1,026.68 is: 1,537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.77 : 1,845.74 = 1,026.68 : x
  2. Step 2: Convert to fraction form
    1,232.77/1,845.74 = 1,026.68/x
  3. Step 3: Cross multiply
    1,232.77x = 1,845.74 × 1,026.68
  4. Step 4: Simplify right side
    1,232.77x = 1,894,971.91
  5. Step 5: Solve for x
    x = 1,894,971.91/1,232.77
  6. Step 6: Final answer
    x = 1,537.17

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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.