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Finding the Fourth Proportional to 2,175.83, 3,264.29 and 1,004.86

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Solution

The fourth proportional to 2,175.83, 3,264.29 and 1,004.86 is: 1,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.83 : 3,264.29 = 1,004.86 : x
  2. Step 2: Convert to fraction form
    2,175.83/3,264.29 = 1,004.86/x
  3. Step 3: Cross multiply
    2,175.83x = 3,264.29 × 1,004.86
  4. Step 4: Simplify right side
    2,175.83x = 3,280,133.10
  5. Step 5: Solve for x
    x = 3,280,133.10/2,175.83
  6. Step 6: Final answer
    x = 1,507.54

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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.