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Finding the Fourth Proportional to 1,780.76, 2,457.47 and 1,034.75

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Solution

The fourth proportional to 1,780.76, 2,457.47 and 1,034.75 is: 1,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.76 : 2,457.47 = 1,034.75 : x
  2. Step 2: Convert to fraction form
    1,780.76/2,457.47 = 1,034.75/x
  3. Step 3: Cross multiply
    1,780.76x = 2,457.47 × 1,034.75
  4. Step 4: Simplify right side
    1,780.76x = 2,542,861.91
  5. Step 5: Solve for x
    x = 2,542,861.91/1,780.76
  6. Step 6: Final answer
    x = 1,427.96

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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.