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Finding the Fourth Proportional to 3,294.81, 4,941 and 1,420.47

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Solution

The fourth proportional to 3,294.81, 4,941 and 1,420.47 is: 2,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.81 : 4,941 = 1,420.47 : x
  2. Step 2: Convert to fraction form
    3,294.81/4,941 = 1,420.47/x
  3. Step 3: Cross multiply
    3,294.81x = 4,941 × 1,420.47
  4. Step 4: Simplify right side
    3,294.81x = 7,018,542.27
  5. Step 5: Solve for x
    x = 7,018,542.27/3,294.81
  6. Step 6: Final answer
    x = 2,130.18

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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.