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Finding the Fourth Proportional to 2,870.02, 3,961.23 and 1,691.50

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Solution

The fourth proportional to 2,870.02, 3,961.23 and 1,691.50 is: 2,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.02 : 3,961.23 = 1,691.50 : x
  2. Step 2: Convert to fraction form
    2,870.02/3,961.23 = 1,691.50/x
  3. Step 3: Cross multiply
    2,870.02x = 3,961.23 × 1,691.50
  4. Step 4: Simplify right side
    2,870.02x = 6,700,420.55
  5. Step 5: Solve for x
    x = 6,700,420.55/2,870.02
  6. Step 6: Final answer
    x = 2,334.63

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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.