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Finding the Fourth Proportional to 1,603.23, 2,404.84 and 678.54

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Solution

The fourth proportional to 1,603.23, 2,404.84 and 678.54 is: 1,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.23 : 2,404.84 = 678.54 : x
  2. Step 2: Convert to fraction form
    1,603.23/2,404.84 = 678.54/x
  3. Step 3: Cross multiply
    1,603.23x = 2,404.84 × 678.54
  4. Step 4: Simplify right side
    1,603.23x = 1,631,780.13
  5. Step 5: Solve for x
    x = 1,631,780.13/1,603.23
  6. Step 6: Final answer
    x = 1,017.81

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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.