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Finding the Fourth Proportional to 1,561.94, 2,154.96 and 898.55

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Solution

The fourth proportional to 1,561.94, 2,154.96 and 898.55 is: 1,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.94 : 2,154.96 = 898.55 : x
  2. Step 2: Convert to fraction form
    1,561.94/2,154.96 = 898.55/x
  3. Step 3: Cross multiply
    1,561.94x = 2,154.96 × 898.55
  4. Step 4: Simplify right side
    1,561.94x = 1,936,339.31
  5. Step 5: Solve for x
    x = 1,936,339.31/1,561.94
  6. Step 6: Final answer
    x = 1,239.70

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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.