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Finding the Fourth Proportional to 1,715.07, 2,366.88 and 997.47

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Solution

The fourth proportional to 1,715.07, 2,366.88 and 997.47 is: 1,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.07 : 2,366.88 = 997.47 : x
  2. Step 2: Convert to fraction form
    1,715.07/2,366.88 = 997.47/x
  3. Step 3: Cross multiply
    1,715.07x = 2,366.88 × 997.47
  4. Step 4: Simplify right side
    1,715.07x = 2,360,891.79
  5. Step 5: Solve for x
    x = 2,360,891.79/1,715.07
  6. Step 6: Final answer
    x = 1,376.56

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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.