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Finding the Fourth Proportional to 2,506.96, 3,458.51 and 1,511.67

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Solution

The fourth proportional to 2,506.96, 3,458.51 and 1,511.67 is: 2,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.96 : 3,458.51 = 1,511.67 : x
  2. Step 2: Convert to fraction form
    2,506.96/3,458.51 = 1,511.67/x
  3. Step 3: Cross multiply
    2,506.96x = 3,458.51 × 1,511.67
  4. Step 4: Simplify right side
    2,506.96x = 5,228,118.25
  5. Step 5: Solve for x
    x = 5,228,118.25/2,506.96
  6. Step 6: Final answer
    x = 2,085.44

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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.