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Finding the Fourth Proportional to 1,660.60, 2,291.64 and 914.61

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Solution

The fourth proportional to 1,660.60, 2,291.64 and 914.61 is: 1,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.60 : 2,291.64 = 914.61 : x
  2. Step 2: Convert to fraction form
    1,660.60/2,291.64 = 914.61/x
  3. Step 3: Cross multiply
    1,660.60x = 2,291.64 × 914.61
  4. Step 4: Simplify right side
    1,660.60x = 2,095,954.28
  5. Step 5: Solve for x
    x = 2,095,954.28/1,660.60
  6. Step 6: Final answer
    x = 1,262.17

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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.