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Finding the Fourth Proportional to 1,780.52, 2,457.11 and 994.56

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Solution

The fourth proportional to 1,780.52, 2,457.11 and 994.56 is: 1,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.52 : 2,457.11 = 994.56 : x
  2. Step 2: Convert to fraction form
    1,780.52/2,457.11 = 994.56/x
  3. Step 3: Cross multiply
    1,780.52x = 2,457.11 × 994.56
  4. Step 4: Simplify right side
    1,780.52x = 2,443,750.42
  5. Step 5: Solve for x
    x = 2,443,750.42/1,780.52
  6. Step 6: Final answer
    x = 1,372.50

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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.