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Finding the Fourth Proportional to 1,695.88, 2,540.04 and 719.02

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Solution

The fourth proportional to 1,695.88, 2,540.04 and 719.02 is: 1,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.88 : 2,540.04 = 719.02 : x
  2. Step 2: Convert to fraction form
    1,695.88/2,540.04 = 719.02/x
  3. Step 3: Cross multiply
    1,695.88x = 2,540.04 × 719.02
  4. Step 4: Simplify right side
    1,695.88x = 1,826,339.56
  5. Step 5: Solve for x
    x = 1,826,339.56/1,695.88
  6. Step 6: Final answer
    x = 1,076.93

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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.