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Finding the Fourth Proportional to 1,715.61, 2,367.42 and 969.60

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Solution

The fourth proportional to 1,715.61, 2,367.42 and 969.60 is: 1,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.61 : 2,367.42 = 969.60 : x
  2. Step 2: Convert to fraction form
    1,715.61/2,367.42 = 969.60/x
  3. Step 3: Cross multiply
    1,715.61x = 2,367.42 × 969.60
  4. Step 4: Simplify right side
    1,715.61x = 2,295,450.43
  5. Step 5: Solve for x
    x = 2,295,450.43/1,715.61
  6. Step 6: Final answer
    x = 1,337.98

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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.