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Finding the Fourth Proportional to 1,677.64, 2,315.26 and 979.16

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Solution

The fourth proportional to 1,677.64, 2,315.26 and 979.16 is: 1,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.64 : 2,315.26 = 979.16 : x
  2. Step 2: Convert to fraction form
    1,677.64/2,315.26 = 979.16/x
  3. Step 3: Cross multiply
    1,677.64x = 2,315.26 × 979.16
  4. Step 4: Simplify right side
    1,677.64x = 2,267,009.98
  5. Step 5: Solve for x
    x = 2,267,009.98/1,677.64
  6. Step 6: Final answer
    x = 1,351.31

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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.