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Finding the Fourth Proportional to 1,888.40, 2,832.90 and 952.24

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Solution

The fourth proportional to 1,888.40, 2,832.90 and 952.24 is: 1,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.40 : 2,832.90 = 952.24 : x
  2. Step 2: Convert to fraction form
    1,888.40/2,832.90 = 952.24/x
  3. Step 3: Cross multiply
    1,888.40x = 2,832.90 × 952.24
  4. Step 4: Simplify right side
    1,888.40x = 2,697,600.70
  5. Step 5: Solve for x
    x = 2,697,600.70/1,888.40
  6. Step 6: Final answer
    x = 1,428.51

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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.