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Finding the Fourth Proportional to 1,644.93, 2,269.35 and 981.54

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Solution

The fourth proportional to 1,644.93, 2,269.35 and 981.54 is: 1,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.93 : 2,269.35 = 981.54 : x
  2. Step 2: Convert to fraction form
    1,644.93/2,269.35 = 981.54/x
  3. Step 3: Cross multiply
    1,644.93x = 2,269.35 × 981.54
  4. Step 4: Simplify right side
    1,644.93x = 2,227,457.80
  5. Step 5: Solve for x
    x = 2,227,457.80/1,644.93
  6. Step 6: Final answer
    x = 1,354.14

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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.