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Finding the Fourth Proportional to 2,003.42, 2,764.71 and 1,164.61

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Solution

The fourth proportional to 2,003.42, 2,764.71 and 1,164.61 is: 1,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.42 : 2,764.71 = 1,164.61 : x
  2. Step 2: Convert to fraction form
    2,003.42/2,764.71 = 1,164.61/x
  3. Step 3: Cross multiply
    2,003.42x = 2,764.71 × 1,164.61
  4. Step 4: Simplify right side
    2,003.42x = 3,219,808.91
  5. Step 5: Solve for x
    x = 3,219,808.91/2,003.42
  6. Step 6: Final answer
    x = 1,607.16

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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.