Home / 2,824.96-3,898.47-1,646.14

Finding the Fourth Proportional to 2,824.96, 3,898.47 and 1,646.14

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Solution

The fourth proportional to 2,824.96, 3,898.47 and 1,646.14 is: 2,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.96 : 3,898.47 = 1,646.14 : x
  2. Step 2: Convert to fraction form
    2,824.96/3,898.47 = 1,646.14/x
  3. Step 3: Cross multiply
    2,824.96x = 3,898.47 × 1,646.14
  4. Step 4: Simplify right side
    2,824.96x = 6,417,427.41
  5. Step 5: Solve for x
    x = 6,417,427.41/2,824.96
  6. Step 6: Final answer
    x = 2,271.69

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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.