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Finding the Fourth Proportional to 1,771.03, 2,657.42 and 1,254.36

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Solution

The fourth proportional to 1,771.03, 2,657.42 and 1,254.36 is: 1,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.03 : 2,657.42 = 1,254.36 : x
  2. Step 2: Convert to fraction form
    1,771.03/2,657.42 = 1,254.36/x
  3. Step 3: Cross multiply
    1,771.03x = 2,657.42 × 1,254.36
  4. Step 4: Simplify right side
    1,771.03x = 3,333,361.35
  5. Step 5: Solve for x
    x = 3,333,361.35/1,771.03
  6. Step 6: Final answer
    x = 1,882.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.