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Finding the Fourth Proportional to 2,332, 3,218.16 and 1,284.06

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Solution

The fourth proportional to 2,332, 3,218.16 and 1,284.06 is: 1,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332 : 3,218.16 = 1,284.06 : x
  2. Step 2: Convert to fraction form
    2,332/3,218.16 = 1,284.06/x
  3. Step 3: Cross multiply
    2,332x = 3,218.16 × 1,284.06
  4. Step 4: Simplify right side
    2,332x = 4,132,310.53
  5. Step 5: Solve for x
    x = 4,132,310.53/2,332
  6. Step 6: Final answer
    x = 1,772.00

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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.