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Finding the Fourth Proportional to 2,914.58, 4,369.03 and 1,159.00

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Solution

The fourth proportional to 2,914.58, 4,369.03 and 1,159.00 is: 1,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.58 : 4,369.03 = 1,159.00 : x
  2. Step 2: Convert to fraction form
    2,914.58/4,369.03 = 1,159.00/x
  3. Step 3: Cross multiply
    2,914.58x = 4,369.03 × 1,159.00
  4. Step 4: Simplify right side
    2,914.58x = 5,063,691.95
  5. Step 5: Solve for x
    x = 5,063,691.95/2,914.58
  6. Step 6: Final answer
    x = 1,737.36

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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.