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Finding the Fourth Proportional to 2,507.19, 3,761.30 and 947.18

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Solution

The fourth proportional to 2,507.19, 3,761.30 and 947.18 is: 1,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.19 : 3,761.30 = 947.18 : x
  2. Step 2: Convert to fraction form
    2,507.19/3,761.30 = 947.18/x
  3. Step 3: Cross multiply
    2,507.19x = 3,761.30 × 947.18
  4. Step 4: Simplify right side
    2,507.19x = 3,562,611.70
  5. Step 5: Solve for x
    x = 3,562,611.70/2,507.19
  6. Step 6: Final answer
    x = 1,420.96

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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.