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Finding the Fourth Proportional to 2,078.60, 3,118.70 and 1,429

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Solution

The fourth proportional to 2,078.60, 3,118.70 and 1,429 is: 2,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.60 : 3,118.70 = 1,429 : x
  2. Step 2: Convert to fraction form
    2,078.60/3,118.70 = 1,429/x
  3. Step 3: Cross multiply
    2,078.60x = 3,118.70 × 1,429
  4. Step 4: Simplify right side
    2,078.60x = 4,456,622.30
  5. Step 5: Solve for x
    x = 4,456,622.30/2,078.60
  6. Step 6: Final answer
    x = 2,144.05

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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.