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Finding the Fourth Proportional to 2,532.87, 3,799.29 and 684.17

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Solution

The fourth proportional to 2,532.87, 3,799.29 and 684.17 is: 1,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.87 : 3,799.29 = 684.17 : x
  2. Step 2: Convert to fraction form
    2,532.87/3,799.29 = 684.17/x
  3. Step 3: Cross multiply
    2,532.87x = 3,799.29 × 684.17
  4. Step 4: Simplify right side
    2,532.87x = 2,599,343.81
  5. Step 5: Solve for x
    x = 2,599,343.81/2,532.87
  6. Step 6: Final answer
    x = 1,026.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.