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Finding the Fourth Proportional to 2,046.79, 2,825.01 and 1,207.19

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Solution

The fourth proportional to 2,046.79, 2,825.01 and 1,207.19 is: 1,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.79 : 2,825.01 = 1,207.19 : x
  2. Step 2: Convert to fraction form
    2,046.79/2,825.01 = 1,207.19/x
  3. Step 3: Cross multiply
    2,046.79x = 2,825.01 × 1,207.19
  4. Step 4: Simplify right side
    2,046.79x = 3,410,323.82
  5. Step 5: Solve for x
    x = 3,410,323.82/2,046.79
  6. Step 6: Final answer
    x = 1,666.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.