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Finding the Fourth Proportional to 1,715.17, 2,366.90 and 969.37

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Solution

The fourth proportional to 1,715.17, 2,366.90 and 969.37 is: 1,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.17 : 2,366.90 = 969.37 : x
  2. Step 2: Convert to fraction form
    1,715.17/2,366.90 = 969.37/x
  3. Step 3: Cross multiply
    1,715.17x = 2,366.90 × 969.37
  4. Step 4: Simplify right side
    1,715.17x = 2,294,398.36
  5. Step 5: Solve for x
    x = 2,294,398.36/1,715.17
  6. Step 6: Final answer
    x = 1,337.71

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1.5x scale

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.