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Finding the Fourth Proportional to 3,218.52, 4,826.54 and 1,370.50

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Solution

The fourth proportional to 3,218.52, 4,826.54 and 1,370.50 is: 2,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.52 : 4,826.54 = 1,370.50 : x
  2. Step 2: Convert to fraction form
    3,218.52/4,826.54 = 1,370.50/x
  3. Step 3: Cross multiply
    3,218.52x = 4,826.54 × 1,370.50
  4. Step 4: Simplify right side
    3,218.52x = 6,614,773.07
  5. Step 5: Solve for x
    x = 6,614,773.07/3,218.52
  6. Step 6: Final answer
    x = 2,055.22

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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.