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Finding the Fourth Proportional to 3,312.61, 4,967.63 and 1,462.70

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Solution

The fourth proportional to 3,312.61, 4,967.63 and 1,462.70 is: 2,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.61 : 4,967.63 = 1,462.70 : x
  2. Step 2: Convert to fraction form
    3,312.61/4,967.63 = 1,462.70/x
  3. Step 3: Cross multiply
    3,312.61x = 4,967.63 × 1,462.70
  4. Step 4: Simplify right side
    3,312.61x = 7,266,161.16
  5. Step 5: Solve for x
    x = 7,266,161.16/3,312.61
  6. Step 6: Final answer
    x = 2,193.49

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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.