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Finding the Fourth Proportional to 1,705.08, 2,352.94 and 948.83

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Solution

The fourth proportional to 1,705.08, 2,352.94 and 948.83 is: 1,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.08 : 2,352.94 = 948.83 : x
  2. Step 2: Convert to fraction form
    1,705.08/2,352.94 = 948.83/x
  3. Step 3: Cross multiply
    1,705.08x = 2,352.94 × 948.83
  4. Step 4: Simplify right side
    1,705.08x = 2,232,540.06
  5. Step 5: Solve for x
    x = 2,232,540.06/1,705.08
  6. Step 6: Final answer
    x = 1,309.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.