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Finding the Fourth Proportional to 2,216.90, 3,056.74 and 1,656.38

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Solution

The fourth proportional to 2,216.90, 3,056.74 and 1,656.38 is: 2,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.90 : 3,056.74 = 1,656.38 : x
  2. Step 2: Convert to fraction form
    2,216.90/3,056.74 = 1,656.38/x
  3. Step 3: Cross multiply
    2,216.90x = 3,056.74 × 1,656.38
  4. Step 4: Simplify right side
    2,216.90x = 5,063,109.31
  5. Step 5: Solve for x
    x = 5,063,109.31/2,216.90
  6. Step 6: Final answer
    x = 2,283.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.