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Finding the Fourth Proportional to 1,780.69, 2,457.34 and 1,034.68

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Solution

The fourth proportional to 1,780.69, 2,457.34 and 1,034.68 is: 1,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.69 : 2,457.34 = 1,034.68 : x
  2. Step 2: Convert to fraction form
    1,780.69/2,457.34 = 1,034.68/x
  3. Step 3: Cross multiply
    1,780.69x = 2,457.34 × 1,034.68
  4. Step 4: Simplify right side
    1,780.69x = 2,542,560.55
  5. Step 5: Solve for x
    x = 2,542,560.55/1,780.69
  6. Step 6: Final answer
    x = 1,427.85

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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.