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Finding the Fourth Proportional to 3,292.02, 4,543.02 and 1,799.98

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Solution

The fourth proportional to 3,292.02, 4,543.02 and 1,799.98 is: 2,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.02 : 4,543.02 = 1,799.98 : x
  2. Step 2: Convert to fraction form
    3,292.02/4,543.02 = 1,799.98/x
  3. Step 3: Cross multiply
    3,292.02x = 4,543.02 × 1,799.98
  4. Step 4: Simplify right side
    3,292.02x = 8,177,345.14
  5. Step 5: Solve for x
    x = 8,177,345.14/3,292.02
  6. Step 6: Final answer
    x = 2,483.99

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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.