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Finding the Fourth Proportional to 2,643.43, 3,646.34 and 1,698.91

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Solution

The fourth proportional to 2,643.43, 3,646.34 and 1,698.91 is: 2,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.43 : 3,646.34 = 1,698.91 : x
  2. Step 2: Convert to fraction form
    2,643.43/3,646.34 = 1,698.91/x
  3. Step 3: Cross multiply
    2,643.43x = 3,646.34 × 1,698.91
  4. Step 4: Simplify right side
    2,643.43x = 6,194,803.49
  5. Step 5: Solve for x
    x = 6,194,803.49/2,643.43
  6. Step 6: Final answer
    x = 2,343.47

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