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Finding the Fourth Proportional to 2,374.95, 3,558.24 and 1,448.31

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Solution

The fourth proportional to 2,374.95, 3,558.24 and 1,448.31 is: 2,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.95 : 3,558.24 = 1,448.31 : x
  2. Step 2: Convert to fraction form
    2,374.95/3,558.24 = 1,448.31/x
  3. Step 3: Cross multiply
    2,374.95x = 3,558.24 × 1,448.31
  4. Step 4: Simplify right side
    2,374.95x = 5,153,434.57
  5. Step 5: Solve for x
    x = 5,153,434.57/2,374.95
  6. Step 6: Final answer
    x = 2,169.91

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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.