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Finding the Fourth Proportional to 3,298.16, 4,947.84 and 1,655.84

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Solution

The fourth proportional to 3,298.16, 4,947.84 and 1,655.84 is: 2,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.16 : 4,947.84 = 1,655.84 : x
  2. Step 2: Convert to fraction form
    3,298.16/4,947.84 = 1,655.84/x
  3. Step 3: Cross multiply
    3,298.16x = 4,947.84 × 1,655.84
  4. Step 4: Simplify right side
    3,298.16x = 8,192,831.39
  5. Step 5: Solve for x
    x = 8,192,831.39/3,298.16
  6. Step 6: Final answer
    x = 2,484.06

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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.