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Finding the Fourth Proportional to 2,585.70, 3,876.28 and 1,026.79

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Solution

The fourth proportional to 2,585.70, 3,876.28 and 1,026.79 is: 1,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.70 : 3,876.28 = 1,026.79 : x
  2. Step 2: Convert to fraction form
    2,585.70/3,876.28 = 1,026.79/x
  3. Step 3: Cross multiply
    2,585.70x = 3,876.28 × 1,026.79
  4. Step 4: Simplify right side
    2,585.70x = 3,980,113.28
  5. Step 5: Solve for x
    x = 3,980,113.28/2,585.70
  6. Step 6: Final answer
    x = 1,539.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.