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Finding the Fourth Proportional to 2,360.64, 3,541.44 and 822.72

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Solution

The fourth proportional to 2,360.64, 3,541.44 and 822.72 is: 1,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.64 : 3,541.44 = 822.72 : x
  2. Step 2: Convert to fraction form
    2,360.64/3,541.44 = 822.72/x
  3. Step 3: Cross multiply
    2,360.64x = 3,541.44 × 822.72
  4. Step 4: Simplify right side
    2,360.64x = 2,913,613.52
  5. Step 5: Solve for x
    x = 2,913,613.52/2,360.64
  6. Step 6: Final answer
    x = 1,234.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.