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Finding the Fourth Proportional to 3,203.01, 4,804.42 and 981.82

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Solution

The fourth proportional to 3,203.01, 4,804.42 and 981.82 is: 1,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.01 : 4,804.42 = 981.82 : x
  2. Step 2: Convert to fraction form
    3,203.01/4,804.42 = 981.82/x
  3. Step 3: Cross multiply
    3,203.01x = 4,804.42 × 981.82
  4. Step 4: Simplify right side
    3,203.01x = 4,717,075.64
  5. Step 5: Solve for x
    x = 4,717,075.64/3,203.01
  6. Step 6: Final answer
    x = 1,472.70

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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.