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Finding the Fourth Proportional to 3,063.79, 4,595.43 and 983.24

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Solution

The fourth proportional to 3,063.79, 4,595.43 and 983.24 is: 1,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.79 : 4,595.43 = 983.24 : x
  2. Step 2: Convert to fraction form
    3,063.79/4,595.43 = 983.24/x
  3. Step 3: Cross multiply
    3,063.79x = 4,595.43 × 983.24
  4. Step 4: Simplify right side
    3,063.79x = 4,518,410.59
  5. Step 5: Solve for x
    x = 4,518,410.59/3,063.79
  6. Step 6: Final answer
    x = 1,474.78

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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.