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Finding the Fourth Proportional to 2,653.73, 3,977.84 and 898.14

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Solution

The fourth proportional to 2,653.73, 3,977.84 and 898.14 is: 1,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.73 : 3,977.84 = 898.14 : x
  2. Step 2: Convert to fraction form
    2,653.73/3,977.84 = 898.14/x
  3. Step 3: Cross multiply
    2,653.73x = 3,977.84 × 898.14
  4. Step 4: Simplify right side
    2,653.73x = 3,572,652.73
  5. Step 5: Solve for x
    x = 3,572,652.73/2,653.73
  6. Step 6: Final answer
    x = 1,346.28

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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.