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Finding the Fourth Proportional to 2,874.89, 3,967.28 and 1,598.68

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Solution

The fourth proportional to 2,874.89, 3,967.28 and 1,598.68 is: 2,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.89 : 3,967.28 = 1,598.68 : x
  2. Step 2: Convert to fraction form
    2,874.89/3,967.28 = 1,598.68/x
  3. Step 3: Cross multiply
    2,874.89x = 3,967.28 × 1,598.68
  4. Step 4: Simplify right side
    2,874.89x = 6,342,393.28
  5. Step 5: Solve for x
    x = 6,342,393.28/2,874.89
  6. Step 6: Final answer
    x = 2,206.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.