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Finding the Fourth Proportional to 2,647.40, 3,653.24 and 1,652.61

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Solution

The fourth proportional to 2,647.40, 3,653.24 and 1,652.61 is: 2,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.40 : 3,653.24 = 1,652.61 : x
  2. Step 2: Convert to fraction form
    2,647.40/3,653.24 = 1,652.61/x
  3. Step 3: Cross multiply
    2,647.40x = 3,653.24 × 1,652.61
  4. Step 4: Simplify right side
    2,647.40x = 6,037,386.39
  5. Step 5: Solve for x
    x = 6,037,386.39/2,647.40
  6. Step 6: Final answer
    x = 2,280.50

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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.