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Finding the Fourth Proportional to 1,715.94, 2,367.96 and 969.87

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Solution

The fourth proportional to 1,715.94, 2,367.96 and 969.87 is: 1,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.94 : 2,367.96 = 969.87 : x
  2. Step 2: Convert to fraction form
    1,715.94/2,367.96 = 969.87/x
  3. Step 3: Cross multiply
    1,715.94x = 2,367.96 × 969.87
  4. Step 4: Simplify right side
    1,715.94x = 2,296,618.61
  5. Step 5: Solve for x
    x = 2,296,618.61/1,715.94
  6. Step 6: Final answer
    x = 1,338.40

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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.