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Finding the Fourth Proportional to 2,963.61, 4,088.49 and 1,704.39

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Solution

The fourth proportional to 2,963.61, 4,088.49 and 1,704.39 is: 2,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.61 : 4,088.49 = 1,704.39 : x
  2. Step 2: Convert to fraction form
    2,963.61/4,088.49 = 1,704.39/x
  3. Step 3: Cross multiply
    2,963.61x = 4,088.49 × 1,704.39
  4. Step 4: Simplify right side
    2,963.61x = 6,968,381.47
  5. Step 5: Solve for x
    x = 6,968,381.47/2,963.61
  6. Step 6: Final answer
    x = 2,351.32

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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.