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Finding the Fourth Proportional to 1,715.13, 2,366.82 and 969.09

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Solution

The fourth proportional to 1,715.13, 2,366.82 and 969.09 is: 1,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.13 : 2,366.82 = 969.09 : x
  2. Step 2: Convert to fraction form
    1,715.13/2,366.82 = 969.09/x
  3. Step 3: Cross multiply
    1,715.13x = 2,366.82 × 969.09
  4. Step 4: Simplify right side
    1,715.13x = 2,293,661.59
  5. Step 5: Solve for x
    x = 2,293,661.59/1,715.13
  6. Step 6: Final answer
    x = 1,337.31

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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.