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Finding the Fourth Proportional to 3,322.29, 4,977.95 and 1,470.63

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Solution

The fourth proportional to 3,322.29, 4,977.95 and 1,470.63 is: 2,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.29 : 4,977.95 = 1,470.63 : x
  2. Step 2: Convert to fraction form
    3,322.29/4,977.95 = 1,470.63/x
  3. Step 3: Cross multiply
    3,322.29x = 4,977.95 × 1,470.63
  4. Step 4: Simplify right side
    3,322.29x = 7,320,715.26
  5. Step 5: Solve for x
    x = 7,320,715.26/3,322.29
  6. Step 6: Final answer
    x = 2,203.51

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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.