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Finding the Fourth Proportional to 2,326.46, 3,210.71 and 1,582.07

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Solution

The fourth proportional to 2,326.46, 3,210.71 and 1,582.07 is: 2,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.46 : 3,210.71 = 1,582.07 : x
  2. Step 2: Convert to fraction form
    2,326.46/3,210.71 = 1,582.07/x
  3. Step 3: Cross multiply
    2,326.46x = 3,210.71 × 1,582.07
  4. Step 4: Simplify right side
    2,326.46x = 5,079,544.01
  5. Step 5: Solve for x
    x = 5,079,544.01/2,326.46
  6. Step 6: Final answer
    x = 2,183.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.