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Finding the Fourth Proportional to 2,698.97, 3,724.66 and 1,580.00

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Solution

The fourth proportional to 2,698.97, 3,724.66 and 1,580.00 is: 2,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.97 : 3,724.66 = 1,580.00 : x
  2. Step 2: Convert to fraction form
    2,698.97/3,724.66 = 1,580.00/x
  3. Step 3: Cross multiply
    2,698.97x = 3,724.66 × 1,580.00
  4. Step 4: Simplify right side
    2,698.97x = 5,884,968.16
  5. Step 5: Solve for x
    x = 5,884,968.16/2,698.97
  6. Step 6: Final answer
    x = 2,180.45

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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.