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Finding the Fourth Proportional to 1,782.74, 2,460.66 and 1,026.61

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Solution

The fourth proportional to 1,782.74, 2,460.66 and 1,026.61 is: 1,416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.74 : 2,460.66 = 1,026.61 : x
  2. Step 2: Convert to fraction form
    1,782.74/2,460.66 = 1,026.61/x
  3. Step 3: Cross multiply
    1,782.74x = 2,460.66 × 1,026.61
  4. Step 4: Simplify right side
    1,782.74x = 2,526,120.73
  5. Step 5: Solve for x
    x = 2,526,120.73/1,782.74
  6. Step 6: Final answer
    x = 1,416.99

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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.