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Finding the Fourth Proportional to 1,538.80, 2,124.02 and 1,460.44

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Solution

The fourth proportional to 1,538.80, 2,124.02 and 1,460.44 is: 2,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.80 : 2,124.02 = 1,460.44 : x
  2. Step 2: Convert to fraction form
    1,538.80/2,124.02 = 1,460.44/x
  3. Step 3: Cross multiply
    1,538.80x = 2,124.02 × 1,460.44
  4. Step 4: Simplify right side
    1,538.80x = 3,102,003.77
  5. Step 5: Solve for x
    x = 3,102,003.77/1,538.80
  6. Step 6: Final answer
    x = 2,015.86

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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.