Home / 2,972.46-4,102.02-1,646.10

Finding the Fourth Proportional to 2,972.46, 4,102.02 and 1,646.10

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Solution

The fourth proportional to 2,972.46, 4,102.02 and 1,646.10 is: 2,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.46 : 4,102.02 = 1,646.10 : x
  2. Step 2: Convert to fraction form
    2,972.46/4,102.02 = 1,646.10/x
  3. Step 3: Cross multiply
    2,972.46x = 4,102.02 × 1,646.10
  4. Step 4: Simplify right side
    2,972.46x = 6,752,335.12
  5. Step 5: Solve for x
    x = 6,752,335.12/2,972.46
  6. Step 6: Final answer
    x = 2,271.63

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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.