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Finding the Fourth Proportional to 2,599.95, 3,900.61 and 934.24

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Solution

The fourth proportional to 2,599.95, 3,900.61 and 934.24 is: 1,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.95 : 3,900.61 = 934.24 : x
  2. Step 2: Convert to fraction form
    2,599.95/3,900.61 = 934.24/x
  3. Step 3: Cross multiply
    2,599.95x = 3,900.61 × 934.24
  4. Step 4: Simplify right side
    2,599.95x = 3,644,118.37
  5. Step 5: Solve for x
    x = 3,644,118.37/2,599.95
  6. Step 6: Final answer
    x = 1,401.61

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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.