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Finding the Fourth Proportional to 3,099.39, 4,277.34 and 1,702.14

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Solution

The fourth proportional to 3,099.39, 4,277.34 and 1,702.14 is: 2,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.39 : 4,277.34 = 1,702.14 : x
  2. Step 2: Convert to fraction form
    3,099.39/4,277.34 = 1,702.14/x
  3. Step 3: Cross multiply
    3,099.39x = 4,277.34 × 1,702.14
  4. Step 4: Simplify right side
    3,099.39x = 7,280,631.51
  5. Step 5: Solve for x
    x = 7,280,631.51/3,099.39
  6. Step 6: Final answer
    x = 2,349.05

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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.