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Finding the Fourth Proportional to 4,377.66, 6,564.54 and 1,603.60

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Solution

The fourth proportional to 4,377.66, 6,564.54 and 1,603.60 is: 2,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.66 : 6,564.54 = 1,603.60 : x
  2. Step 2: Convert to fraction form
    4,377.66/6,564.54 = 1,603.60/x
  3. Step 3: Cross multiply
    4,377.66x = 6,564.54 × 1,603.60
  4. Step 4: Simplify right side
    4,377.66x = 10,526,896.34
  5. Step 5: Solve for x
    x = 10,526,896.34/4,377.66
  6. Step 6: Final answer
    x = 2,404.69

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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.