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Finding the Fourth Proportional to 1,882.98, 2,598.66 and 1,097.07

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Solution

The fourth proportional to 1,882.98, 2,598.66 and 1,097.07 is: 1,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.98 : 2,598.66 = 1,097.07 : x
  2. Step 2: Convert to fraction form
    1,882.98/2,598.66 = 1,097.07/x
  3. Step 3: Cross multiply
    1,882.98x = 2,598.66 × 1,097.07
  4. Step 4: Simplify right side
    1,882.98x = 2,850,911.93
  5. Step 5: Solve for x
    x = 2,850,911.93/1,882.98
  6. Step 6: Final answer
    x = 1,514.04

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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.