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Finding the Fourth Proportional to 2,893.02, 4,340.10 and 944.70

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Solution

The fourth proportional to 2,893.02, 4,340.10 and 944.70 is: 1,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.02 : 4,340.10 = 944.70 : x
  2. Step 2: Convert to fraction form
    2,893.02/4,340.10 = 944.70/x
  3. Step 3: Cross multiply
    2,893.02x = 4,340.10 × 944.70
  4. Step 4: Simplify right side
    2,893.02x = 4,100,092.47
  5. Step 5: Solve for x
    x = 4,100,092.47/2,893.02
  6. Step 6: Final answer
    x = 1,417.24

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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.