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Finding the Fourth Proportional to 2,285.40, 3,425.70 and 898.20

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Solution

The fourth proportional to 2,285.40, 3,425.70 and 898.20 is: 1,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.40 : 3,425.70 = 898.20 : x
  2. Step 2: Convert to fraction form
    2,285.40/3,425.70 = 898.20/x
  3. Step 3: Cross multiply
    2,285.40x = 3,425.70 × 898.20
  4. Step 4: Simplify right side
    2,285.40x = 3,076,963.74
  5. Step 5: Solve for x
    x = 3,076,963.74/2,285.40
  6. Step 6: Final answer
    x = 1,346.36

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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.