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Finding the Fourth Proportional to 2,896.70, 4,345.05 and 1,438.70

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Solution

The fourth proportional to 2,896.70, 4,345.05 and 1,438.70 is: 2,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.70 : 4,345.05 = 1,438.70 : x
  2. Step 2: Convert to fraction form
    2,896.70/4,345.05 = 1,438.70/x
  3. Step 3: Cross multiply
    2,896.70x = 4,345.05 × 1,438.70
  4. Step 4: Simplify right side
    2,896.70x = 6,251,223.44
  5. Step 5: Solve for x
    x = 6,251,223.44/2,896.70
  6. Step 6: Final answer
    x = 2,158.05

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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.