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Finding the Fourth Proportional to 2,674.83, 4,010.07 and 1,116.01

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Solution

The fourth proportional to 2,674.83, 4,010.07 and 1,116.01 is: 1,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.83 : 4,010.07 = 1,116.01 : x
  2. Step 2: Convert to fraction form
    2,674.83/4,010.07 = 1,116.01/x
  3. Step 3: Cross multiply
    2,674.83x = 4,010.07 × 1,116.01
  4. Step 4: Simplify right side
    2,674.83x = 4,475,278.22
  5. Step 5: Solve for x
    x = 4,475,278.22/2,674.83
  6. Step 6: Final answer
    x = 1,673.11

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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.