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Finding the Fourth Proportional to 1,771.64, 2,444.14 and 1,142.03

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Solution

The fourth proportional to 1,771.64, 2,444.14 and 1,142.03 is: 1,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.64 : 2,444.14 = 1,142.03 : x
  2. Step 2: Convert to fraction form
    1,771.64/2,444.14 = 1,142.03/x
  3. Step 3: Cross multiply
    1,771.64x = 2,444.14 × 1,142.03
  4. Step 4: Simplify right side
    1,771.64x = 2,791,288.74
  5. Step 5: Solve for x
    x = 2,791,288.74/1,771.64
  6. Step 6: Final answer
    x = 1,575.54

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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.