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Finding the Fourth Proportional to 2,551.16, 3,518.76 and 2,342

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Solution

The fourth proportional to 2,551.16, 3,518.76 and 2,342 is: 3,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.16 : 3,518.76 = 2,342 : x
  2. Step 2: Convert to fraction form
    2,551.16/3,518.76 = 2,342/x
  3. Step 3: Cross multiply
    2,551.16x = 3,518.76 × 2,342
  4. Step 4: Simplify right side
    2,551.16x = 8,240,935.92
  5. Step 5: Solve for x
    x = 8,240,935.92/2,551.16
  6. Step 6: Final answer
    x = 3,230.27

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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.