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Finding the Fourth Proportional to 1,654.02, 2,479.41 and 788.13

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Solution

The fourth proportional to 1,654.02, 2,479.41 and 788.13 is: 1,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.02 : 2,479.41 = 788.13 : x
  2. Step 2: Convert to fraction form
    1,654.02/2,479.41 = 788.13/x
  3. Step 3: Cross multiply
    1,654.02x = 2,479.41 × 788.13
  4. Step 4: Simplify right side
    1,654.02x = 1,954,097.40
  5. Step 5: Solve for x
    x = 1,954,097.40/1,654.02
  6. Step 6: Final answer
    x = 1,181.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.