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Finding the Fourth Proportional to 1,882.53, 2,597.91 and 1,097.03

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Solution

The fourth proportional to 1,882.53, 2,597.91 and 1,097.03 is: 1,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.53 : 2,597.91 = 1,097.03 : x
  2. Step 2: Convert to fraction form
    1,882.53/2,597.91 = 1,097.03/x
  3. Step 3: Cross multiply
    1,882.53x = 2,597.91 × 1,097.03
  4. Step 4: Simplify right side
    1,882.53x = 2,849,985.21
  5. Step 5: Solve for x
    x = 2,849,985.21/1,882.53
  6. Step 6: Final answer
    x = 1,513.91

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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.