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Finding the Fourth Proportional to 2,595.74, 3,894.17 and 952.22

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Solution

The fourth proportional to 2,595.74, 3,894.17 and 952.22 is: 1,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.74 : 3,894.17 = 952.22 : x
  2. Step 2: Convert to fraction form
    2,595.74/3,894.17 = 952.22/x
  3. Step 3: Cross multiply
    2,595.74x = 3,894.17 × 952.22
  4. Step 4: Simplify right side
    2,595.74x = 3,708,111.53
  5. Step 5: Solve for x
    x = 3,708,111.53/2,595.74
  6. Step 6: Final answer
    x = 1,428.54

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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.