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Finding the Fourth Proportional to 2,702.35, 4,053.94 and 1,142.36

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Solution

The fourth proportional to 2,702.35, 4,053.94 and 1,142.36 is: 1,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.35 : 4,053.94 = 1,142.36 : x
  2. Step 2: Convert to fraction form
    2,702.35/4,053.94 = 1,142.36/x
  3. Step 3: Cross multiply
    2,702.35x = 4,053.94 × 1,142.36
  4. Step 4: Simplify right side
    2,702.35x = 4,631,038.63
  5. Step 5: Solve for x
    x = 4,631,038.63/2,702.35
  6. Step 6: Final answer
    x = 1,713.71

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