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Finding the Fourth Proportional to 1,885.60, 2,604.62 and 1,571.89

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Solution

The fourth proportional to 1,885.60, 2,604.62 and 1,571.89 is: 2,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.60 : 2,604.62 = 1,571.89 : x
  2. Step 2: Convert to fraction form
    1,885.60/2,604.62 = 1,571.89/x
  3. Step 3: Cross multiply
    1,885.60x = 2,604.62 × 1,571.89
  4. Step 4: Simplify right side
    1,885.60x = 4,094,155.25
  5. Step 5: Solve for x
    x = 4,094,155.25/1,885.60
  6. Step 6: Final answer
    x = 2,171.28

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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.