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Finding the Fourth Proportional to 1,546.89, 2,320.34 and 898.08

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Solution

The fourth proportional to 1,546.89, 2,320.34 and 898.08 is: 1,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.89 : 2,320.34 = 898.08 : x
  2. Step 2: Convert to fraction form
    1,546.89/2,320.34 = 898.08/x
  3. Step 3: Cross multiply
    1,546.89x = 2,320.34 × 898.08
  4. Step 4: Simplify right side
    1,546.89x = 2,083,846.46
  5. Step 5: Solve for x
    x = 2,083,846.46/1,546.89
  6. Step 6: Final answer
    x = 1,347.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.