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Finding the Fourth Proportional to 2,369.46, 3,268.16 and 1,582.14

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Solution

The fourth proportional to 2,369.46, 3,268.16 and 1,582.14 is: 2,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.46 : 3,268.16 = 1,582.14 : x
  2. Step 2: Convert to fraction form
    2,369.46/3,268.16 = 1,582.14/x
  3. Step 3: Cross multiply
    2,369.46x = 3,268.16 × 1,582.14
  4. Step 4: Simplify right side
    2,369.46x = 5,170,686.66
  5. Step 5: Solve for x
    x = 5,170,686.66/2,369.46
  6. Step 6: Final answer
    x = 2,182.22

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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.