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Finding the Fourth Proportional to 1,963.86, 2,710.14 and 1,079.64

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Solution

The fourth proportional to 1,963.86, 2,710.14 and 1,079.64 is: 1,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.86 : 2,710.14 = 1,079.64 : x
  2. Step 2: Convert to fraction form
    1,963.86/2,710.14 = 1,079.64/x
  3. Step 3: Cross multiply
    1,963.86x = 2,710.14 × 1,079.64
  4. Step 4: Simplify right side
    1,963.86x = 2,925,975.55
  5. Step 5: Solve for x
    x = 2,925,975.55/1,963.86
  6. Step 6: Final answer
    x = 1,489.91

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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.