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Finding the Fourth Proportional to 2,078.56, 3,115.52 and 924.16

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Solution

The fourth proportional to 2,078.56, 3,115.52 and 924.16 is: 1,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.56 : 3,115.52 = 924.16 : x
  2. Step 2: Convert to fraction form
    2,078.56/3,115.52 = 924.16/x
  3. Step 3: Cross multiply
    2,078.56x = 3,115.52 × 924.16
  4. Step 4: Simplify right side
    2,078.56x = 2,879,238.96
  5. Step 5: Solve for x
    x = 2,879,238.96/2,078.56
  6. Step 6: Final answer
    x = 1,385.21

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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.