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Finding the Fourth Proportional to 2,801.16, 4,198.68 and 1,411.74

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Solution

The fourth proportional to 2,801.16, 4,198.68 and 1,411.74 is: 2,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.16 : 4,198.68 = 1,411.74 : x
  2. Step 2: Convert to fraction form
    2,801.16/4,198.68 = 1,411.74/x
  3. Step 3: Cross multiply
    2,801.16x = 4,198.68 × 1,411.74
  4. Step 4: Simplify right side
    2,801.16x = 5,927,444.50
  5. Step 5: Solve for x
    x = 5,927,444.50/2,801.16
  6. Step 6: Final answer
    x = 2,116.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.