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Finding the Fourth Proportional to 2,447.17, 3,670.50 and 692.13

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Solution

The fourth proportional to 2,447.17, 3,670.50 and 692.13 is: 1,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.17 : 3,670.50 = 692.13 : x
  2. Step 2: Convert to fraction form
    2,447.17/3,670.50 = 692.13/x
  3. Step 3: Cross multiply
    2,447.17x = 3,670.50 × 692.13
  4. Step 4: Simplify right side
    2,447.17x = 2,540,463.17
  5. Step 5: Solve for x
    x = 2,540,463.17/2,447.17
  6. Step 6: Final answer
    x = 1,038.12

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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.