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Finding the Fourth Proportional to 1,603.83, 2,406.66 and 989.04

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Solution

The fourth proportional to 1,603.83, 2,406.66 and 989.04 is: 1,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.83 : 2,406.66 = 989.04 : x
  2. Step 2: Convert to fraction form
    1,603.83/2,406.66 = 989.04/x
  3. Step 3: Cross multiply
    1,603.83x = 2,406.66 × 989.04
  4. Step 4: Simplify right side
    1,603.83x = 2,380,278.06
  5. Step 5: Solve for x
    x = 2,380,278.06/1,603.83
  6. Step 6: Final answer
    x = 1,484.12

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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.