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Finding the Fourth Proportional to 2,603.17, 3,904.72 and 628.78

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Solution

The fourth proportional to 2,603.17, 3,904.72 and 628.78 is: 943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.17 : 3,904.72 = 628.78 : x
  2. Step 2: Convert to fraction form
    2,603.17/3,904.72 = 628.78/x
  3. Step 3: Cross multiply
    2,603.17x = 3,904.72 × 628.78
  4. Step 4: Simplify right side
    2,603.17x = 2,455,208.27
  5. Step 5: Solve for x
    x = 2,455,208.27/2,603.17
  6. Step 6: Final answer
    x = 943.16

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