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Finding the Fourth Proportional to 1,606.94, 2,217.62 and 898.76

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Solution

The fourth proportional to 1,606.94, 2,217.62 and 898.76 is: 1,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.94 : 2,217.62 = 898.76 : x
  2. Step 2: Convert to fraction form
    1,606.94/2,217.62 = 898.76/x
  3. Step 3: Cross multiply
    1,606.94x = 2,217.62 × 898.76
  4. Step 4: Simplify right side
    1,606.94x = 1,993,115.94
  5. Step 5: Solve for x
    x = 1,993,115.94/1,606.94
  6. Step 6: Final answer
    x = 1,240.32

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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.