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Finding the Fourth Proportional to 1,716.96, 2,369.49 and 970.89

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Solution

The fourth proportional to 1,716.96, 2,369.49 and 970.89 is: 1,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.96 : 2,369.49 = 970.89 : x
  2. Step 2: Convert to fraction form
    1,716.96/2,369.49 = 970.89/x
  3. Step 3: Cross multiply
    1,716.96x = 2,369.49 × 970.89
  4. Step 4: Simplify right side
    1,716.96x = 2,300,514.15
  5. Step 5: Solve for x
    x = 2,300,514.15/1,716.96
  6. Step 6: Final answer
    x = 1,339.88

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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.