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Finding the Fourth Proportional to 2,024.74, 2,793.99 and 1,140.63

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Solution

The fourth proportional to 2,024.74, 2,793.99 and 1,140.63 is: 1,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.74 : 2,793.99 = 1,140.63 : x
  2. Step 2: Convert to fraction form
    2,024.74/2,793.99 = 1,140.63/x
  3. Step 3: Cross multiply
    2,024.74x = 2,793.99 × 1,140.63
  4. Step 4: Simplify right side
    2,024.74x = 3,186,908.81
  5. Step 5: Solve for x
    x = 3,186,908.81/2,024.74
  6. Step 6: Final answer
    x = 1,573.98

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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.