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Finding the Fourth Proportional to 2,598.20, 3,896.88 and 953.90

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Solution

The fourth proportional to 2,598.20, 3,896.88 and 953.90 is: 1,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.20 : 3,896.88 = 953.90 : x
  2. Step 2: Convert to fraction form
    2,598.20/3,896.88 = 953.90/x
  3. Step 3: Cross multiply
    2,598.20x = 3,896.88 × 953.90
  4. Step 4: Simplify right side
    2,598.20x = 3,717,233.83
  5. Step 5: Solve for x
    x = 3,717,233.83/2,598.20
  6. Step 6: Final answer
    x = 1,430.70

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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.