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Finding the Fourth Proportional to 1,652.91, 2,478.13 and 776.02

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Solution

The fourth proportional to 1,652.91, 2,478.13 and 776.02 is: 1,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.91 : 2,478.13 = 776.02 : x
  2. Step 2: Convert to fraction form
    1,652.91/2,478.13 = 776.02/x
  3. Step 3: Cross multiply
    1,652.91x = 2,478.13 × 776.02
  4. Step 4: Simplify right side
    1,652.91x = 1,923,078.44
  5. Step 5: Solve for x
    x = 1,923,078.44/1,652.91
  6. Step 6: Final answer
    x = 1,163.45

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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.