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Finding the Fourth Proportional to 2,720.86, 4,078.08 and 1,314.40

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Solution

The fourth proportional to 2,720.86, 4,078.08 and 1,314.40 is: 1,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.86 : 4,078.08 = 1,314.40 : x
  2. Step 2: Convert to fraction form
    2,720.86/4,078.08 = 1,314.40/x
  3. Step 3: Cross multiply
    2,720.86x = 4,078.08 × 1,314.40
  4. Step 4: Simplify right side
    2,720.86x = 5,360,228.35
  5. Step 5: Solve for x
    x = 5,360,228.35/2,720.86
  6. Step 6: Final answer
    x = 1,970.05

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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.