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Finding the Fourth Proportional to 2,595.06, 3,894.30 and 952.08

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Solution

The fourth proportional to 2,595.06, 3,894.30 and 952.08 is: 1,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.06 : 3,894.30 = 952.08 : x
  2. Step 2: Convert to fraction form
    2,595.06/3,894.30 = 952.08/x
  3. Step 3: Cross multiply
    2,595.06x = 3,894.30 × 952.08
  4. Step 4: Simplify right side
    2,595.06x = 3,707,685.14
  5. Step 5: Solve for x
    x = 3,707,685.14/2,595.06
  6. Step 6: Final answer
    x = 1,428.75

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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.