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Finding the Fourth Proportional to 2,326.74, 3,210.74 and 1,332.14

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Solution

The fourth proportional to 2,326.74, 3,210.74 and 1,332.14 is: 1,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.74 : 3,210.74 = 1,332.14 : x
  2. Step 2: Convert to fraction form
    2,326.74/3,210.74 = 1,332.14/x
  3. Step 3: Cross multiply
    2,326.74x = 3,210.74 × 1,332.14
  4. Step 4: Simplify right side
    2,326.74x = 4,277,155.18
  5. Step 5: Solve for x
    x = 4,277,155.18/2,326.74
  6. Step 6: Final answer
    x = 1,838.26

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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.