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Finding the Fourth Proportional to 1,561.31, 2,154.72 and 898.34

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Solution

The fourth proportional to 1,561.31, 2,154.72 and 898.34 is: 1,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.31 : 2,154.72 = 898.34 : x
  2. Step 2: Convert to fraction form
    1,561.31/2,154.72 = 898.34/x
  3. Step 3: Cross multiply
    1,561.31x = 2,154.72 × 898.34
  4. Step 4: Simplify right side
    1,561.31x = 1,935,671.16
  5. Step 5: Solve for x
    x = 1,935,671.16/1,561.31
  6. Step 6: Final answer
    x = 1,239.77

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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.