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Finding the Fourth Proportional to 2,155.91, 2,976.17 and 1,409.90

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Solution

The fourth proportional to 2,155.91, 2,976.17 and 1,409.90 is: 1,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.91 : 2,976.17 = 1,409.90 : x
  2. Step 2: Convert to fraction form
    2,155.91/2,976.17 = 1,409.90/x
  3. Step 3: Cross multiply
    2,155.91x = 2,976.17 × 1,409.90
  4. Step 4: Simplify right side
    2,155.91x = 4,196,080.15
  5. Step 5: Solve for x
    x = 4,196,080.15/2,155.91
  6. Step 6: Final answer
    x = 1,946.32

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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.