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Finding the Fourth Proportional to 2,093.91, 2,890.28 and 1,506.16

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Solution

The fourth proportional to 2,093.91, 2,890.28 and 1,506.16 is: 2,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.91 : 2,890.28 = 1,506.16 : x
  2. Step 2: Convert to fraction form
    2,093.91/2,890.28 = 1,506.16/x
  3. Step 3: Cross multiply
    2,093.91x = 2,890.28 × 1,506.16
  4. Step 4: Simplify right side
    2,093.91x = 4,353,203.95
  5. Step 5: Solve for x
    x = 4,353,203.95/2,093.91
  6. Step 6: Final answer
    x = 2,078.98

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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.