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Finding the Fourth Proportional to 1,883.50, 2,598.66 and 1,097.40

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Solution

The fourth proportional to 1,883.50, 2,598.66 and 1,097.40 is: 1,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.50 : 2,598.66 = 1,097.40 : x
  2. Step 2: Convert to fraction form
    1,883.50/2,598.66 = 1,097.40/x
  3. Step 3: Cross multiply
    1,883.50x = 2,598.66 × 1,097.40
  4. Step 4: Simplify right side
    1,883.50x = 2,851,769.48
  5. Step 5: Solve for x
    x = 2,851,769.48/1,883.50
  6. Step 6: Final answer
    x = 1,514.08

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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.