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Finding the Fourth Proportional to 1,780.94, 2,457.71 and 1,035.33

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Solution

The fourth proportional to 1,780.94, 2,457.71 and 1,035.33 is: 1,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.94 : 2,457.71 = 1,035.33 : x
  2. Step 2: Convert to fraction form
    1,780.94/2,457.71 = 1,035.33/x
  3. Step 3: Cross multiply
    1,780.94x = 2,457.71 × 1,035.33
  4. Step 4: Simplify right side
    1,780.94x = 2,544,535.72
  5. Step 5: Solve for x
    x = 2,544,535.72/1,780.94
  6. Step 6: Final answer
    x = 1,428.76

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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.