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Finding the Fourth Proportional to 1,807.14, 2,495.41 and 1,145.17

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Solution

The fourth proportional to 1,807.14, 2,495.41 and 1,145.17 is: 1,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.14 : 2,495.41 = 1,145.17 : x
  2. Step 2: Convert to fraction form
    1,807.14/2,495.41 = 1,145.17/x
  3. Step 3: Cross multiply
    1,807.14x = 2,495.41 × 1,145.17
  4. Step 4: Simplify right side
    1,807.14x = 2,857,668.93
  5. Step 5: Solve for x
    x = 2,857,668.93/1,807.14
  6. Step 6: Final answer
    x = 1,581.32

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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.