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Finding the Fourth Proportional to 3,214.70, 4,822.05 and 906.20

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Solution

The fourth proportional to 3,214.70, 4,822.05 and 906.20 is: 1,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.70 : 4,822.05 = 906.20 : x
  2. Step 2: Convert to fraction form
    3,214.70/4,822.05 = 906.20/x
  3. Step 3: Cross multiply
    3,214.70x = 4,822.05 × 906.20
  4. Step 4: Simplify right side
    3,214.70x = 4,369,741.71
  5. Step 5: Solve for x
    x = 4,369,741.71/3,214.70
  6. Step 6: Final answer
    x = 1,359.30

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1.5x scale

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.