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Finding the Fourth Proportional to 2,698.53, 3,724.62 and 2,131.02

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Solution

The fourth proportional to 2,698.53, 3,724.62 and 2,131.02 is: 2,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.53 : 3,724.62 = 2,131.02 : x
  2. Step 2: Convert to fraction form
    2,698.53/3,724.62 = 2,131.02/x
  3. Step 3: Cross multiply
    2,698.53x = 3,724.62 × 2,131.02
  4. Step 4: Simplify right side
    2,698.53x = 7,937,239.71
  5. Step 5: Solve for x
    x = 7,937,239.71/2,698.53
  6. Step 6: Final answer
    x = 2,941.32

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1.5x scale

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.