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Finding the Fourth Proportional to 3,232.02, 4,840.74 and 1,497

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Solution

The fourth proportional to 3,232.02, 4,840.74 and 1,497 is: 2,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.02 : 4,840.74 = 1,497 : x
  2. Step 2: Convert to fraction form
    3,232.02/4,840.74 = 1,497/x
  3. Step 3: Cross multiply
    3,232.02x = 4,840.74 × 1,497
  4. Step 4: Simplify right side
    3,232.02x = 7,246,587.78
  5. Step 5: Solve for x
    x = 7,246,587.78/3,232.02
  6. Step 6: Final answer
    x = 2,242.12

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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.