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Finding the Fourth Proportional to 2,558.96, 3,531.49 and 1,511.00

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Solution

The fourth proportional to 2,558.96, 3,531.49 and 1,511.00 is: 2,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.96 : 3,531.49 = 1,511.00 : x
  2. Step 2: Convert to fraction form
    2,558.96/3,531.49 = 1,511.00/x
  3. Step 3: Cross multiply
    2,558.96x = 3,531.49 × 1,511.00
  4. Step 4: Simplify right side
    2,558.96x = 5,336,059.96
  5. Step 5: Solve for x
    x = 5,336,059.96/2,558.96
  6. Step 6: Final answer
    x = 2,085.25

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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.