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Finding the Fourth Proportional to 2,139.42, 3,210.96 and 1,524.63

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Solution

The fourth proportional to 2,139.42, 3,210.96 and 1,524.63 is: 2,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.42 : 3,210.96 = 1,524.63 : x
  2. Step 2: Convert to fraction form
    2,139.42/3,210.96 = 1,524.63/x
  3. Step 3: Cross multiply
    2,139.42x = 3,210.96 × 1,524.63
  4. Step 4: Simplify right side
    2,139.42x = 4,895,525.94
  5. Step 5: Solve for x
    x = 4,895,525.94/2,139.42
  6. Step 6: Final answer
    x = 2,288.25

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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.