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Finding the Fourth Proportional to 2,702.36, 4,054.64 and 1,777.75

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Solution

The fourth proportional to 2,702.36, 4,054.64 and 1,777.75 is: 2,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.36 : 4,054.64 = 1,777.75 : x
  2. Step 2: Convert to fraction form
    2,702.36/4,054.64 = 1,777.75/x
  3. Step 3: Cross multiply
    2,702.36x = 4,054.64 × 1,777.75
  4. Step 4: Simplify right side
    2,702.36x = 7,208,117.23
  5. Step 5: Solve for x
    x = 7,208,117.23/2,702.36
  6. Step 6: Final answer
    x = 2,667.34

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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.