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Finding the Fourth Proportional to 1,780.61, 2,457.29 and 994.59

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Solution

The fourth proportional to 1,780.61, 2,457.29 and 994.59 is: 1,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.61 : 2,457.29 = 994.59 : x
  2. Step 2: Convert to fraction form
    1,780.61/2,457.29 = 994.59/x
  3. Step 3: Cross multiply
    1,780.61x = 2,457.29 × 994.59
  4. Step 4: Simplify right side
    1,780.61x = 2,443,991.09
  5. Step 5: Solve for x
    x = 2,443,991.09/1,780.61
  6. Step 6: Final answer
    x = 1,372.56

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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.