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Finding the Fourth Proportional to 2,352.94, 3,247.16 and 1,305

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Solution

The fourth proportional to 2,352.94, 3,247.16 and 1,305 is: 1,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.94 : 3,247.16 = 1,305 : x
  2. Step 2: Convert to fraction form
    2,352.94/3,247.16 = 1,305/x
  3. Step 3: Cross multiply
    2,352.94x = 3,247.16 × 1,305
  4. Step 4: Simplify right side
    2,352.94x = 4,237,543.80
  5. Step 5: Solve for x
    x = 4,237,543.80/2,352.94
  6. Step 6: Final answer
    x = 1,800.96

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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.