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Finding the Fourth Proportional to 2,030.84, 3,046.23 and 644.17

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Solution

The fourth proportional to 2,030.84, 3,046.23 and 644.17 is: 966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.84 : 3,046.23 = 644.17 : x
  2. Step 2: Convert to fraction form
    2,030.84/3,046.23 = 644.17/x
  3. Step 3: Cross multiply
    2,030.84x = 3,046.23 × 644.17
  4. Step 4: Simplify right side
    2,030.84x = 1,962,289.98
  5. Step 5: Solve for x
    x = 1,962,289.98/2,030.84
  6. Step 6: Final answer
    x = 966.25

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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.