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Finding the Fourth Proportional to 1,883.54, 2,598.93 and 1,097.43

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Solution

The fourth proportional to 1,883.54, 2,598.93 and 1,097.43 is: 1,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.54 : 2,598.93 = 1,097.43 : x
  2. Step 2: Convert to fraction form
    1,883.54/2,598.93 = 1,097.43/x
  3. Step 3: Cross multiply
    1,883.54x = 2,598.93 × 1,097.43
  4. Step 4: Simplify right side
    1,883.54x = 2,852,143.75
  5. Step 5: Solve for x
    x = 2,852,143.75/1,883.54
  6. Step 6: Final answer
    x = 1,514.25

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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.