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Finding the Fourth Proportional to 2,315, 3,457.72 and 2,095.28

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Solution

The fourth proportional to 2,315, 3,457.72 and 2,095.28 is: 3,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315 : 3,457.72 = 2,095.28 : x
  2. Step 2: Convert to fraction form
    2,315/3,457.72 = 2,095.28/x
  3. Step 3: Cross multiply
    2,315x = 3,457.72 × 2,095.28
  4. Step 4: Simplify right side
    2,315x = 7,244,891.56
  5. Step 5: Solve for x
    x = 7,244,891.56/2,315
  6. Step 6: Final answer
    x = 3,129.54

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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.