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Finding the Fourth Proportional to 2,496.72, 3,442.27 and 2,046.93

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Solution

The fourth proportional to 2,496.72, 3,442.27 and 2,046.93 is: 2,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.72 : 3,442.27 = 2,046.93 : x
  2. Step 2: Convert to fraction form
    2,496.72/3,442.27 = 2,046.93/x
  3. Step 3: Cross multiply
    2,496.72x = 3,442.27 × 2,046.93
  4. Step 4: Simplify right side
    2,496.72x = 7,046,075.50
  5. Step 5: Solve for x
    x = 7,046,075.50/2,496.72
  6. Step 6: Final answer
    x = 2,822.13

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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.