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Finding the Fourth Proportional to 3,063.62, 4,595.51 and 983.81

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Solution

The fourth proportional to 3,063.62, 4,595.51 and 983.81 is: 1,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.62 : 4,595.51 = 983.81 : x
  2. Step 2: Convert to fraction form
    3,063.62/4,595.51 = 983.81/x
  3. Step 3: Cross multiply
    3,063.62x = 4,595.51 × 983.81
  4. Step 4: Simplify right side
    3,063.62x = 4,521,100.49
  5. Step 5: Solve for x
    x = 4,521,100.49/3,063.62
  6. Step 6: Final answer
    x = 1,475.74

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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.