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Finding the Fourth Proportional to 2,471.86, 3,705.60 and 933.94

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Solution

The fourth proportional to 2,471.86, 3,705.60 and 933.94 is: 1,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.86 : 3,705.60 = 933.94 : x
  2. Step 2: Convert to fraction form
    2,471.86/3,705.60 = 933.94/x
  3. Step 3: Cross multiply
    2,471.86x = 3,705.60 × 933.94
  4. Step 4: Simplify right side
    2,471.86x = 3,460,808.06
  5. Step 5: Solve for x
    x = 3,460,808.06/2,471.86
  6. Step 6: Final answer
    x = 1,400.08

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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.