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Finding the Fourth Proportional to 2,702.72, 4,054.14 and 1,403.48

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Solution

The fourth proportional to 2,702.72, 4,054.14 and 1,403.48 is: 2,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.72 : 4,054.14 = 1,403.48 : x
  2. Step 2: Convert to fraction form
    2,702.72/4,054.14 = 1,403.48/x
  3. Step 3: Cross multiply
    2,702.72x = 4,054.14 × 1,403.48
  4. Step 4: Simplify right side
    2,702.72x = 5,689,904.41
  5. Step 5: Solve for x
    x = 5,689,904.41/2,702.72
  6. Step 6: Final answer
    x = 2,105.25

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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.