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Finding the Fourth Proportional to 3,063.84, 4,595.68 and 983.76

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Solution

The fourth proportional to 3,063.84, 4,595.68 and 983.76 is: 1,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.84 : 4,595.68 = 983.76 : x
  2. Step 2: Convert to fraction form
    3,063.84/4,595.68 = 983.76/x
  3. Step 3: Cross multiply
    3,063.84x = 4,595.68 × 983.76
  4. Step 4: Simplify right side
    3,063.84x = 4,521,046.16
  5. Step 5: Solve for x
    x = 4,521,046.16/3,063.84
  6. Step 6: Final answer
    x = 1,475.61

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1.5x scale

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.