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Finding the Fourth Proportional to 1,687.64, 2,328.56 and 979.07

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Solution

The fourth proportional to 1,687.64, 2,328.56 and 979.07 is: 1,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.64 : 2,328.56 = 979.07 : x
  2. Step 2: Convert to fraction form
    1,687.64/2,328.56 = 979.07/x
  3. Step 3: Cross multiply
    1,687.64x = 2,328.56 × 979.07
  4. Step 4: Simplify right side
    1,687.64x = 2,279,823.81
  5. Step 5: Solve for x
    x = 2,279,823.81/1,687.64
  6. Step 6: Final answer
    x = 1,350.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.