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Finding the Fourth Proportional to 4,014, 6,018.82 and 1,240.16

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Solution

The fourth proportional to 4,014, 6,018.82 and 1,240.16 is: 1,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014 : 6,018.82 = 1,240.16 : x
  2. Step 2: Convert to fraction form
    4,014/6,018.82 = 1,240.16/x
  3. Step 3: Cross multiply
    4,014x = 6,018.82 × 1,240.16
  4. Step 4: Simplify right side
    4,014x = 7,464,299.81
  5. Step 5: Solve for x
    x = 7,464,299.81/4,014
  6. Step 6: Final answer
    x = 1,859.57

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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.