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Finding the Fourth Proportional to 1,805.86, 2,491.86 and 1,019.77

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Solution

The fourth proportional to 1,805.86, 2,491.86 and 1,019.77 is: 1,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.86 : 2,491.86 = 1,019.77 : x
  2. Step 2: Convert to fraction form
    1,805.86/2,491.86 = 1,019.77/x
  3. Step 3: Cross multiply
    1,805.86x = 2,491.86 × 1,019.77
  4. Step 4: Simplify right side
    1,805.86x = 2,541,124.07
  5. Step 5: Solve for x
    x = 2,541,124.07/1,805.86
  6. Step 6: Final answer
    x = 1,407.15

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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.