Home / 3,298.08-4,946.40-1,542

Finding the Fourth Proportional to 3,298.08, 4,946.40 and 1,542

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Solution

The fourth proportional to 3,298.08, 4,946.40 and 1,542 is: 2,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.08 : 4,946.40 = 1,542 : x
  2. Step 2: Convert to fraction form
    3,298.08/4,946.40 = 1,542/x
  3. Step 3: Cross multiply
    3,298.08x = 4,946.40 × 1,542
  4. Step 4: Simplify right side
    3,298.08x = 7,627,348.80
  5. Step 5: Solve for x
    x = 7,627,348.80/3,298.08
  6. Step 6: Final answer
    x = 2,312.66

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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.