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Finding the Fourth Proportional to 2,056.68, 3,078.18 and 1,566.96

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Solution

The fourth proportional to 2,056.68, 3,078.18 and 1,566.96 is: 2,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.68 : 3,078.18 = 1,566.96 : x
  2. Step 2: Convert to fraction form
    2,056.68/3,078.18 = 1,566.96/x
  3. Step 3: Cross multiply
    2,056.68x = 3,078.18 × 1,566.96
  4. Step 4: Simplify right side
    2,056.68x = 4,823,384.93
  5. Step 5: Solve for x
    x = 4,823,384.93/2,056.68
  6. Step 6: Final answer
    x = 2,345.23

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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.