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Finding the Fourth Proportional to 3,206.52, 4,809.51 and 898.02

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Solution

The fourth proportional to 3,206.52, 4,809.51 and 898.02 is: 1,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.52 : 4,809.51 = 898.02 : x
  2. Step 2: Convert to fraction form
    3,206.52/4,809.51 = 898.02/x
  3. Step 3: Cross multiply
    3,206.52x = 4,809.51 × 898.02
  4. Step 4: Simplify right side
    3,206.52x = 4,319,036.17
  5. Step 5: Solve for x
    x = 4,319,036.17/3,206.52
  6. Step 6: Final answer
    x = 1,346.95

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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.