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Finding the Fourth Proportional to 2,765.79, 3,816.46 and 1,570.77

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Solution

The fourth proportional to 2,765.79, 3,816.46 and 1,570.77 is: 2,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.79 : 3,816.46 = 1,570.77 : x
  2. Step 2: Convert to fraction form
    2,765.79/3,816.46 = 1,570.77/x
  3. Step 3: Cross multiply
    2,765.79x = 3,816.46 × 1,570.77
  4. Step 4: Simplify right side
    2,765.79x = 5,994,789.15
  5. Step 5: Solve for x
    x = 5,994,789.15/2,765.79
  6. Step 6: Final answer
    x = 2,167.48

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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.