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Finding the Fourth Proportional to 3,314.94, 4,973.02 and 1,366.08

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Solution

The fourth proportional to 3,314.94, 4,973.02 and 1,366.08 is: 2,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.94 : 4,973.02 = 1,366.08 : x
  2. Step 2: Convert to fraction form
    3,314.94/4,973.02 = 1,366.08/x
  3. Step 3: Cross multiply
    3,314.94x = 4,973.02 × 1,366.08
  4. Step 4: Simplify right side
    3,314.94x = 6,793,543.16
  5. Step 5: Solve for x
    x = 6,793,543.16/3,314.94
  6. Step 6: Final answer
    x = 2,049.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.