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Finding the Fourth Proportional to 2,903.80, 4,358.94 and 1,442.56

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Solution

The fourth proportional to 2,903.80, 4,358.94 and 1,442.56 is: 2,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.80 : 4,358.94 = 1,442.56 : x
  2. Step 2: Convert to fraction form
    2,903.80/4,358.94 = 1,442.56/x
  3. Step 3: Cross multiply
    2,903.80x = 4,358.94 × 1,442.56
  4. Step 4: Simplify right side
    2,903.80x = 6,288,032.49
  5. Step 5: Solve for x
    x = 6,288,032.49/2,903.80
  6. Step 6: Final answer
    x = 2,165.45

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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.