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Finding the Fourth Proportional to 3,384.54, 4,669.63 and 1,967.95

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Solution

The fourth proportional to 3,384.54, 4,669.63 and 1,967.95 is: 2,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.54 : 4,669.63 = 1,967.95 : x
  2. Step 2: Convert to fraction form
    3,384.54/4,669.63 = 1,967.95/x
  3. Step 3: Cross multiply
    3,384.54x = 4,669.63 × 1,967.95
  4. Step 4: Simplify right side
    3,384.54x = 9,189,598.36
  5. Step 5: Solve for x
    x = 9,189,598.36/3,384.54
  6. Step 6: Final answer
    x = 2,715.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.