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Finding the Fourth Proportional to 1,876.64, 2,803.44 and 1,352.16

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Solution

The fourth proportional to 1,876.64, 2,803.44 and 1,352.16 is: 2,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.64 : 2,803.44 = 1,352.16 : x
  2. Step 2: Convert to fraction form
    1,876.64/2,803.44 = 1,352.16/x
  3. Step 3: Cross multiply
    1,876.64x = 2,803.44 × 1,352.16
  4. Step 4: Simplify right side
    1,876.64x = 3,790,704.50
  5. Step 5: Solve for x
    x = 3,790,704.50/1,876.64
  6. Step 6: Final answer
    x = 2,019.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.