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Finding the Fourth Proportional to 1,579.40, 2,369.93 and 702.78

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Solution

The fourth proportional to 1,579.40, 2,369.93 and 702.78 is: 1,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.40 : 2,369.93 = 702.78 : x
  2. Step 2: Convert to fraction form
    1,579.40/2,369.93 = 702.78/x
  3. Step 3: Cross multiply
    1,579.40x = 2,369.93 × 702.78
  4. Step 4: Simplify right side
    1,579.40x = 1,665,532.93
  5. Step 5: Solve for x
    x = 1,665,532.93/1,579.40
  6. Step 6: Final answer
    x = 1,054.54

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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.