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Finding the Fourth Proportional to 2,719.61, 4,079.01 and 870.53

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Solution

The fourth proportional to 2,719.61, 4,079.01 and 870.53 is: 1,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.61 : 4,079.01 = 870.53 : x
  2. Step 2: Convert to fraction form
    2,719.61/4,079.01 = 870.53/x
  3. Step 3: Cross multiply
    2,719.61x = 4,079.01 × 870.53
  4. Step 4: Simplify right side
    2,719.61x = 3,550,912.95
  5. Step 5: Solve for x
    x = 3,550,912.95/2,719.61
  6. Step 6: Final answer
    x = 1,305.67

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Why These Related Problems?

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