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Finding the Fourth Proportional to 1,561.82, 2,154.66 and 898.30

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Solution

The fourth proportional to 1,561.82, 2,154.66 and 898.30 is: 1,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.82 : 2,154.66 = 898.30 : x
  2. Step 2: Convert to fraction form
    1,561.82/2,154.66 = 898.30/x
  3. Step 3: Cross multiply
    1,561.82x = 2,154.66 × 898.30
  4. Step 4: Simplify right side
    1,561.82x = 1,935,531.08
  5. Step 5: Solve for x
    x = 1,935,531.08/1,561.82
  6. Step 6: Final answer
    x = 1,239.28

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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.