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Finding the Fourth Proportional to 1,857.14, 2,563.13 and 1,158.14

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Solution

The fourth proportional to 1,857.14, 2,563.13 and 1,158.14 is: 1,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.14 : 2,563.13 = 1,158.14 : x
  2. Step 2: Convert to fraction form
    1,857.14/2,563.13 = 1,158.14/x
  3. Step 3: Cross multiply
    1,857.14x = 2,563.13 × 1,158.14
  4. Step 4: Simplify right side
    1,857.14x = 2,968,463.38
  5. Step 5: Solve for x
    x = 2,968,463.38/1,857.14
  6. Step 6: Final answer
    x = 1,598.41

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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.