Home / 2,972.88-4,102.57-1,646.58

Finding the Fourth Proportional to 2,972.88, 4,102.57 and 1,646.58

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Solution

The fourth proportional to 2,972.88, 4,102.57 and 1,646.58 is: 2,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.88 : 4,102.57 = 1,646.58 : x
  2. Step 2: Convert to fraction form
    2,972.88/4,102.57 = 1,646.58/x
  3. Step 3: Cross multiply
    2,972.88x = 4,102.57 × 1,646.58
  4. Step 4: Simplify right side
    2,972.88x = 6,755,208.71
  5. Step 5: Solve for x
    x = 6,755,208.71/2,972.88
  6. Step 6: Final answer
    x = 2,272.28

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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.