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Finding the Fourth Proportional to 1,882.99, 2,598.34 and 1,174.92

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Solution

The fourth proportional to 1,882.99, 2,598.34 and 1,174.92 is: 1,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.99 : 2,598.34 = 1,174.92 : x
  2. Step 2: Convert to fraction form
    1,882.99/2,598.34 = 1,174.92/x
  3. Step 3: Cross multiply
    1,882.99x = 2,598.34 × 1,174.92
  4. Step 4: Simplify right side
    1,882.99x = 3,052,841.63
  5. Step 5: Solve for x
    x = 3,052,841.63/1,882.99
  6. Step 6: Final answer
    x = 1,621.27

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