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Finding the Fourth Proportional to 2,165.32, 3,225.83 and 2,060.83

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Solution

The fourth proportional to 2,165.32, 3,225.83 and 2,060.83 is: 3,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.32 : 3,225.83 = 2,060.83 : x
  2. Step 2: Convert to fraction form
    2,165.32/3,225.83 = 2,060.83/x
  3. Step 3: Cross multiply
    2,165.32x = 3,225.83 × 2,060.83
  4. Step 4: Simplify right side
    2,165.32x = 6,647,887.24
  5. Step 5: Solve for x
    x = 6,647,887.24/2,165.32
  6. Step 6: Final answer
    x = 3,070.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.