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Finding the Fourth Proportional to 2,398.96, 3,598.60 and 1,166.96

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Solution

The fourth proportional to 2,398.96, 3,598.60 and 1,166.96 is: 1,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.96 : 3,598.60 = 1,166.96 : x
  2. Step 2: Convert to fraction form
    2,398.96/3,598.60 = 1,166.96/x
  3. Step 3: Cross multiply
    2,398.96x = 3,598.60 × 1,166.96
  4. Step 4: Simplify right side
    2,398.96x = 4,199,422.26
  5. Step 5: Solve for x
    x = 4,199,422.26/2,398.96
  6. Step 6: Final answer
    x = 1,750.52

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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.