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Finding the Fourth Proportional to 1,797.90, 2,483.76 and 1,423.68

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Solution

The fourth proportional to 1,797.90, 2,483.76 and 1,423.68 is: 1,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.90 : 2,483.76 = 1,423.68 : x
  2. Step 2: Convert to fraction form
    1,797.90/2,483.76 = 1,423.68/x
  3. Step 3: Cross multiply
    1,797.90x = 2,483.76 × 1,423.68
  4. Step 4: Simplify right side
    1,797.90x = 3,536,079.44
  5. Step 5: Solve for x
    x = 3,536,079.44/1,797.90
  6. Step 6: Final answer
    x = 1,966.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.