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Finding the Fourth Proportional to 3,203.23, 4,804.99 and 951.53

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Solution

The fourth proportional to 3,203.23, 4,804.99 and 951.53 is: 1,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.23 : 4,804.99 = 951.53 : x
  2. Step 2: Convert to fraction form
    3,203.23/4,804.99 = 951.53/x
  3. Step 3: Cross multiply
    3,203.23x = 4,804.99 × 951.53
  4. Step 4: Simplify right side
    3,203.23x = 4,572,068.11
  5. Step 5: Solve for x
    x = 4,572,068.11/3,203.23
  6. Step 6: Final answer
    x = 1,427.33

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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.