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Finding the Fourth Proportional to 2,095.53, 2,891.88 and 1,151.37

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Solution

The fourth proportional to 2,095.53, 2,891.88 and 1,151.37 is: 1,588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.53 : 2,891.88 = 1,151.37 : x
  2. Step 2: Convert to fraction form
    2,095.53/2,891.88 = 1,151.37/x
  3. Step 3: Cross multiply
    2,095.53x = 2,891.88 × 1,151.37
  4. Step 4: Simplify right side
    2,095.53x = 3,329,623.88
  5. Step 5: Solve for x
    x = 3,329,623.88/2,095.53
  6. Step 6: Final answer
    x = 1,588.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.