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Finding the Fourth Proportional to 1,799.39, 2,476.00 and 1,788.05

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Solution

The fourth proportional to 1,799.39, 2,476.00 and 1,788.05 is: 2,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.39 : 2,476.00 = 1,788.05 : x
  2. Step 2: Convert to fraction form
    1,799.39/2,476.00 = 1,788.05/x
  3. Step 3: Cross multiply
    1,799.39x = 2,476.00 × 1,788.05
  4. Step 4: Simplify right side
    1,799.39x = 4,427,220.23
  5. Step 5: Solve for x
    x = 4,427,220.23/1,799.39
  6. Step 6: Final answer
    x = 2,460.40

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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.