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Finding the Fourth Proportional to 4,890.18, 7,335 and 1,603.20

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Solution

The fourth proportional to 4,890.18, 7,335 and 1,603.20 is: 2,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.18 : 7,335 = 1,603.20 : x
  2. Step 2: Convert to fraction form
    4,890.18/7,335 = 1,603.20/x
  3. Step 3: Cross multiply
    4,890.18x = 7,335 × 1,603.20
  4. Step 4: Simplify right side
    4,890.18x = 11,759,472
  5. Step 5: Solve for x
    x = 11,759,472/4,890.18
  6. Step 6: Final answer
    x = 2,404.71

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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.