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Finding the Fourth Proportional to 2,705.99, 4,058.35 and 1,243.74

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Solution

The fourth proportional to 2,705.99, 4,058.35 and 1,243.74 is: 1,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.99 : 4,058.35 = 1,243.74 : x
  2. Step 2: Convert to fraction form
    2,705.99/4,058.35 = 1,243.74/x
  3. Step 3: Cross multiply
    2,705.99x = 4,058.35 × 1,243.74
  4. Step 4: Simplify right side
    2,705.99x = 5,047,529.12
  5. Step 5: Solve for x
    x = 5,047,529.12/2,705.99
  6. Step 6: Final answer
    x = 1,865.32

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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.