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Finding the Fourth Proportional to 4,985.19, 7,475.04 and 1,696.95

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Solution

The fourth proportional to 4,985.19, 7,475.04 and 1,696.95 is: 2,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.19 : 7,475.04 = 1,696.95 : x
  2. Step 2: Convert to fraction form
    4,985.19/7,475.04 = 1,696.95/x
  3. Step 3: Cross multiply
    4,985.19x = 7,475.04 × 1,696.95
  4. Step 4: Simplify right side
    4,985.19x = 12,684,769.13
  5. Step 5: Solve for x
    x = 12,684,769.13/4,985.19
  6. Step 6: Final answer
    x = 2,544.49

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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.