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Finding the Fourth Proportional to 1,241.40, 1,861.40 and 510.14

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Solution

The fourth proportional to 1,241.40, 1,861.40 and 510.14 is: 764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.40 : 1,861.40 = 510.14 : x
  2. Step 2: Convert to fraction form
    1,241.40/1,861.40 = 510.14/x
  3. Step 3: Cross multiply
    1,241.40x = 1,861.40 × 510.14
  4. Step 4: Simplify right side
    1,241.40x = 949,574.60
  5. Step 5: Solve for x
    x = 949,574.60/1,241.40
  6. Step 6: Final answer
    x = 764.92

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Why These Related Problems?

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