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Finding the Fourth Proportional to 2,646.63, 3,652.38 and 1,467.72

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Solution

The fourth proportional to 2,646.63, 3,652.38 and 1,467.72 is: 2,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.63 : 3,652.38 = 1,467.72 : x
  2. Step 2: Convert to fraction form
    2,646.63/3,652.38 = 1,467.72/x
  3. Step 3: Cross multiply
    2,646.63x = 3,652.38 × 1,467.72
  4. Step 4: Simplify right side
    2,646.63x = 5,360,671.17
  5. Step 5: Solve for x
    x = 5,360,671.17/2,646.63
  6. Step 6: Final answer
    x = 2,025.47

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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.