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Finding the Fourth Proportional to 2,703.08, 4,052.46 and 1,165.16

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Solution

The fourth proportional to 2,703.08, 4,052.46 and 1,165.16 is: 1,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.08 : 4,052.46 = 1,165.16 : x
  2. Step 2: Convert to fraction form
    2,703.08/4,052.46 = 1,165.16/x
  3. Step 3: Cross multiply
    2,703.08x = 4,052.46 × 1,165.16
  4. Step 4: Simplify right side
    2,703.08x = 4,721,764.29
  5. Step 5: Solve for x
    x = 4,721,764.29/2,703.08
  6. Step 6: Final answer
    x = 1,746.81

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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.