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Finding the Fourth Proportional to 2,719.40, 4,077.83 and 870.10

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Solution

The fourth proportional to 2,719.40, 4,077.83 and 870.10 is: 1,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.40 : 4,077.83 = 870.10 : x
  2. Step 2: Convert to fraction form
    2,719.40/4,077.83 = 870.10/x
  3. Step 3: Cross multiply
    2,719.40x = 4,077.83 × 870.10
  4. Step 4: Simplify right side
    2,719.40x = 3,548,111.86
  5. Step 5: Solve for x
    x = 3,548,111.86/2,719.40
  6. Step 6: Final answer
    x = 1,304.74

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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.