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Finding the Fourth Proportional to 2,430, 3,354.20 and 1,591.24

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Solution

The fourth proportional to 2,430, 3,354.20 and 1,591.24 is: 2,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430 : 3,354.20 = 1,591.24 : x
  2. Step 2: Convert to fraction form
    2,430/3,354.20 = 1,591.24/x
  3. Step 3: Cross multiply
    2,430x = 3,354.20 × 1,591.24
  4. Step 4: Simplify right side
    2,430x = 5,337,337.21
  5. Step 5: Solve for x
    x = 5,337,337.21/2,430
  6. Step 6: Final answer
    x = 2,196.44

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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.