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Finding the Fourth Proportional to 1,671.60, 2,305.20 and 1,507.56

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Solution

The fourth proportional to 1,671.60, 2,305.20 and 1,507.56 is: 2,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.60 : 2,305.20 = 1,507.56 : x
  2. Step 2: Convert to fraction form
    1,671.60/2,305.20 = 1,507.56/x
  3. Step 3: Cross multiply
    1,671.60x = 2,305.20 × 1,507.56
  4. Step 4: Simplify right side
    1,671.60x = 3,475,227.31
  5. Step 5: Solve for x
    x = 3,475,227.31/1,671.60
  6. Step 6: Final answer
    x = 2,078.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.