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Finding the Fourth Proportional to 1,561.84, 2,154.91 and 898.66

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Solution

The fourth proportional to 1,561.84, 2,154.91 and 898.66 is: 1,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.84 : 2,154.91 = 898.66 : x
  2. Step 2: Convert to fraction form
    1,561.84/2,154.91 = 898.66/x
  3. Step 3: Cross multiply
    1,561.84x = 2,154.91 × 898.66
  4. Step 4: Simplify right side
    1,561.84x = 1,936,531.42
  5. Step 5: Solve for x
    x = 1,936,531.42/1,561.84
  6. Step 6: Final answer
    x = 1,239.90

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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.