Home / 2,972.80-4,102.72-1,646.76

Finding the Fourth Proportional to 2,972.80, 4,102.72 and 1,646.76

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Solution

The fourth proportional to 2,972.80, 4,102.72 and 1,646.76 is: 2,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.80 : 4,102.72 = 1,646.76 : x
  2. Step 2: Convert to fraction form
    2,972.80/4,102.72 = 1,646.76/x
  3. Step 3: Cross multiply
    2,972.80x = 4,102.72 × 1,646.76
  4. Step 4: Simplify right side
    2,972.80x = 6,756,206.46
  5. Step 5: Solve for x
    x = 6,756,206.46/2,972.80
  6. Step 6: Final answer
    x = 2,272.67

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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.