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Finding the Fourth Proportional to 1,715.76, 2,367.45 and 969.57

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Solution

The fourth proportional to 1,715.76, 2,367.45 and 969.57 is: 1,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.76 : 2,367.45 = 969.57 : x
  2. Step 2: Convert to fraction form
    1,715.76/2,367.45 = 969.57/x
  3. Step 3: Cross multiply
    1,715.76x = 2,367.45 × 969.57
  4. Step 4: Simplify right side
    1,715.76x = 2,295,408.50
  5. Step 5: Solve for x
    x = 2,295,408.50/1,715.76
  6. Step 6: Final answer
    x = 1,337.84

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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.