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Finding the Fourth Proportional to 1,883.36, 2,598.96 and 1,097.12

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Solution

The fourth proportional to 1,883.36, 2,598.96 and 1,097.12 is: 1,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.36 : 2,598.96 = 1,097.12 : x
  2. Step 2: Convert to fraction form
    1,883.36/2,598.96 = 1,097.12/x
  3. Step 3: Cross multiply
    1,883.36x = 2,598.96 × 1,097.12
  4. Step 4: Simplify right side
    1,883.36x = 2,851,371.00
  5. Step 5: Solve for x
    x = 2,851,371.00/1,883.36
  6. Step 6: Final answer
    x = 1,513.98

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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.