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Finding the Fourth Proportional to 2,078.64, 3,118.40 and 1,039.20

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Solution

The fourth proportional to 2,078.64, 3,118.40 and 1,039.20 is: 1,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.64 : 3,118.40 = 1,039.20 : x
  2. Step 2: Convert to fraction form
    2,078.64/3,118.40 = 1,039.20/x
  3. Step 3: Cross multiply
    2,078.64x = 3,118.40 × 1,039.20
  4. Step 4: Simplify right side
    2,078.64x = 3,240,641.28
  5. Step 5: Solve for x
    x = 3,240,641.28/2,078.64
  6. Step 6: Final answer
    x = 1,559.02

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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.