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Finding the Fourth Proportional to 3,063.95, 4,595.85 and 983.87

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Solution

The fourth proportional to 3,063.95, 4,595.85 and 983.87 is: 1,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.95 : 4,595.85 = 983.87 : x
  2. Step 2: Convert to fraction form
    3,063.95/4,595.85 = 983.87/x
  3. Step 3: Cross multiply
    3,063.95x = 4,595.85 × 983.87
  4. Step 4: Simplify right side
    3,063.95x = 4,521,695.96
  5. Step 5: Solve for x
    x = 4,521,695.96/3,063.95
  6. Step 6: Final answer
    x = 1,475.78

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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.