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Finding the Fourth Proportional to 2,332.74, 3,219.59 and 1,827.58

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Solution

The fourth proportional to 2,332.74, 3,219.59 and 1,827.58 is: 2,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.74 : 3,219.59 = 1,827.58 : x
  2. Step 2: Convert to fraction form
    2,332.74/3,219.59 = 1,827.58/x
  3. Step 3: Cross multiply
    2,332.74x = 3,219.59 × 1,827.58
  4. Step 4: Simplify right side
    2,332.74x = 5,884,058.29
  5. Step 5: Solve for x
    x = 5,884,058.29/2,332.74
  6. Step 6: Final answer
    x = 2,522.38

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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.