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Finding the Fourth Proportional to 1,799.81, 2,482.44 and 1,202.00

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Solution

The fourth proportional to 1,799.81, 2,482.44 and 1,202.00 is: 1,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.81 : 2,482.44 = 1,202.00 : x
  2. Step 2: Convert to fraction form
    1,799.81/2,482.44 = 1,202.00/x
  3. Step 3: Cross multiply
    1,799.81x = 2,482.44 × 1,202.00
  4. Step 4: Simplify right side
    1,799.81x = 2,983,880.47
  5. Step 5: Solve for x
    x = 2,983,880.47/1,799.81
  6. Step 6: Final answer
    x = 1,657.89

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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.