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Finding the Fourth Proportional to 2,646.48, 3,970.60 and 1,671.44

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Solution

The fourth proportional to 2,646.48, 3,970.60 and 1,671.44 is: 2,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.48 : 3,970.60 = 1,671.44 : x
  2. Step 2: Convert to fraction form
    2,646.48/3,970.60 = 1,671.44/x
  3. Step 3: Cross multiply
    2,646.48x = 3,970.60 × 1,671.44
  4. Step 4: Simplify right side
    2,646.48x = 6,636,619.66
  5. Step 5: Solve for x
    x = 6,636,619.66/2,646.48
  6. Step 6: Final answer
    x = 2,507.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.