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Finding the Fourth Proportional to 1,715.59, 2,367.49 and 969.53

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Solution

The fourth proportional to 1,715.59, 2,367.49 and 969.53 is: 1,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.59 : 2,367.49 = 969.53 : x
  2. Step 2: Convert to fraction form
    1,715.59/2,367.49 = 969.53/x
  3. Step 3: Cross multiply
    1,715.59x = 2,367.49 × 969.53
  4. Step 4: Simplify right side
    1,715.59x = 2,295,352.58
  5. Step 5: Solve for x
    x = 2,295,352.58/1,715.59
  6. Step 6: Final answer
    x = 1,337.94

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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.