Home / 2,972.09-4,101.43-1,645.78

Finding the Fourth Proportional to 2,972.09, 4,101.43 and 1,645.78

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Solution

The fourth proportional to 2,972.09, 4,101.43 and 1,645.78 is: 2,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.09 : 4,101.43 = 1,645.78 : x
  2. Step 2: Convert to fraction form
    2,972.09/4,101.43 = 1,645.78/x
  3. Step 3: Cross multiply
    2,972.09x = 4,101.43 × 1,645.78
  4. Step 4: Simplify right side
    2,972.09x = 6,750,051.47
  5. Step 5: Solve for x
    x = 6,750,051.47/2,972.09
  6. Step 6: Final answer
    x = 2,271.15

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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.