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Finding the Fourth Proportional to 2,970.27, 4,455 and 1,735.83

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Solution

The fourth proportional to 2,970.27, 4,455 and 1,735.83 is: 2,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.27 : 4,455 = 1,735.83 : x
  2. Step 2: Convert to fraction form
    2,970.27/4,455 = 1,735.83/x
  3. Step 3: Cross multiply
    2,970.27x = 4,455 × 1,735.83
  4. Step 4: Simplify right side
    2,970.27x = 7,733,122.65
  5. Step 5: Solve for x
    x = 7,733,122.65/2,970.27
  6. Step 6: Final answer
    x = 2,603.51

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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.