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Finding the Fourth Proportional to 1,780.56, 2,457.04 and 1,034.52

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Solution

The fourth proportional to 1,780.56, 2,457.04 and 1,034.52 is: 1,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.56 : 2,457.04 = 1,034.52 : x
  2. Step 2: Convert to fraction form
    1,780.56/2,457.04 = 1,034.52/x
  3. Step 3: Cross multiply
    1,780.56x = 2,457.04 × 1,034.52
  4. Step 4: Simplify right side
    1,780.56x = 2,541,857.02
  5. Step 5: Solve for x
    x = 2,541,857.02/1,780.56
  6. Step 6: Final answer
    x = 1,427.56

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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.