Home / 2,428.40-3,643.98-947.44

Finding the Fourth Proportional to 2,428.40, 3,643.98 and 947.44

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Solution

The fourth proportional to 2,428.40, 3,643.98 and 947.44 is: 1,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.40 : 3,643.98 = 947.44 : x
  2. Step 2: Convert to fraction form
    2,428.40/3,643.98 = 947.44/x
  3. Step 3: Cross multiply
    2,428.40x = 3,643.98 × 947.44
  4. Step 4: Simplify right side
    2,428.40x = 3,452,452.41
  5. Step 5: Solve for x
    x = 3,452,452.41/2,428.40
  6. Step 6: Final answer
    x = 1,421.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.