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Finding the Fourth Proportional to 2,417.12, 3,625.70 and 662.09

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Solution

The fourth proportional to 2,417.12, 3,625.70 and 662.09 is: 993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.12 : 3,625.70 = 662.09 : x
  2. Step 2: Convert to fraction form
    2,417.12/3,625.70 = 662.09/x
  3. Step 3: Cross multiply
    2,417.12x = 3,625.70 × 662.09
  4. Step 4: Simplify right side
    2,417.12x = 2,400,518.27
  5. Step 5: Solve for x
    x = 2,400,518.27/2,417.12
  6. Step 6: Final answer
    x = 993.13

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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.