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Finding the Fourth Proportional to 1,903.48, 2,624.72 and 1,462.44

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Solution

The fourth proportional to 1,903.48, 2,624.72 and 1,462.44 is: 2,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.48 : 2,624.72 = 1,462.44 : x
  2. Step 2: Convert to fraction form
    1,903.48/2,624.72 = 1,462.44/x
  3. Step 3: Cross multiply
    1,903.48x = 2,624.72 × 1,462.44
  4. Step 4: Simplify right side
    1,903.48x = 3,838,495.52
  5. Step 5: Solve for x
    x = 3,838,495.52/1,903.48
  6. Step 6: Final answer
    x = 2,016.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.