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Finding the Fourth Proportional to 1,679.44, 2,317.45 and 971.17

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Solution

The fourth proportional to 1,679.44, 2,317.45 and 971.17 is: 1,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.44 : 2,317.45 = 971.17 : x
  2. Step 2: Convert to fraction form
    1,679.44/2,317.45 = 971.17/x
  3. Step 3: Cross multiply
    1,679.44x = 2,317.45 × 971.17
  4. Step 4: Simplify right side
    1,679.44x = 2,250,633.06
  5. Step 5: Solve for x
    x = 2,250,633.06/1,679.44
  6. Step 6: Final answer
    x = 1,340.11

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1.5x scale

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.