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Finding the Fourth Proportional to 1,882.89, 2,598.71 and 1,097.37

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Solution

The fourth proportional to 1,882.89, 2,598.71 and 1,097.37 is: 1,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.89 : 2,598.71 = 1,097.37 : x
  2. Step 2: Convert to fraction form
    1,882.89/2,598.71 = 1,097.37/x
  3. Step 3: Cross multiply
    1,882.89x = 2,598.71 × 1,097.37
  4. Step 4: Simplify right side
    1,882.89x = 2,851,740.91
  5. Step 5: Solve for x
    x = 2,851,740.91/1,882.89
  6. Step 6: Final answer
    x = 1,514.56

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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.