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Finding the Fourth Proportional to 3,047.35, 4,204.93 and 1,702.82

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Solution

The fourth proportional to 3,047.35, 4,204.93 and 1,702.82 is: 2,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.35 : 4,204.93 = 1,702.82 : x
  2. Step 2: Convert to fraction form
    3,047.35/4,204.93 = 1,702.82/x
  3. Step 3: Cross multiply
    3,047.35x = 4,204.93 × 1,702.82
  4. Step 4: Simplify right side
    3,047.35x = 7,160,209.36
  5. Step 5: Solve for x
    x = 7,160,209.36/3,047.35
  6. Step 6: Final answer
    x = 2,349.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.