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Finding the Fourth Proportional to 2,800.18, 3,864.54 and 1,738.18

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Solution

The fourth proportional to 2,800.18, 3,864.54 and 1,738.18 is: 2,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.18 : 3,864.54 = 1,738.18 : x
  2. Step 2: Convert to fraction form
    2,800.18/3,864.54 = 1,738.18/x
  3. Step 3: Cross multiply
    2,800.18x = 3,864.54 × 1,738.18
  4. Step 4: Simplify right side
    2,800.18x = 6,717,266.14
  5. Step 5: Solve for x
    x = 6,717,266.14/2,800.18
  6. Step 6: Final answer
    x = 2,398.87

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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.