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Finding the Fourth Proportional to 2,876.94, 4,314.34 and 1,707.20

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Solution

The fourth proportional to 2,876.94, 4,314.34 and 1,707.20 is: 2,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.94 : 4,314.34 = 1,707.20 : x
  2. Step 2: Convert to fraction form
    2,876.94/4,314.34 = 1,707.20/x
  3. Step 3: Cross multiply
    2,876.94x = 4,314.34 × 1,707.20
  4. Step 4: Simplify right side
    2,876.94x = 7,365,415.41
  5. Step 5: Solve for x
    x = 7,365,415.41/2,876.94
  6. Step 6: Final answer
    x = 2,560.16

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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.