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Finding the Fourth Proportional to 2,650.48, 3,657.68 and 1,471.68

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Solution

The fourth proportional to 2,650.48, 3,657.68 and 1,471.68 is: 2,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.48 : 3,657.68 = 1,471.68 : x
  2. Step 2: Convert to fraction form
    2,650.48/3,657.68 = 1,471.68/x
  3. Step 3: Cross multiply
    2,650.48x = 3,657.68 × 1,471.68
  4. Step 4: Simplify right side
    2,650.48x = 5,382,934.50
  5. Step 5: Solve for x
    x = 5,382,934.50/2,650.48
  6. Step 6: Final answer
    x = 2,030.93

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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.