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Finding the Fourth Proportional to 2,957.72, 4,083.22 and 2,293.08

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Solution

The fourth proportional to 2,957.72, 4,083.22 and 2,293.08 is: 3,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.72 : 4,083.22 = 2,293.08 : x
  2. Step 2: Convert to fraction form
    2,957.72/4,083.22 = 2,293.08/x
  3. Step 3: Cross multiply
    2,957.72x = 4,083.22 × 2,293.08
  4. Step 4: Simplify right side
    2,957.72x = 9,363,150.12
  5. Step 5: Solve for x
    x = 9,363,150.12/2,957.72
  6. Step 6: Final answer
    x = 3,165.66

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1.5x scale

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.