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Finding the Fourth Proportional to 2,113.84, 3,170.79 and 652.99

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Solution

The fourth proportional to 2,113.84, 3,170.79 and 652.99 is: 979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.84 : 3,170.79 = 652.99 : x
  2. Step 2: Convert to fraction form
    2,113.84/3,170.79 = 652.99/x
  3. Step 3: Cross multiply
    2,113.84x = 3,170.79 × 652.99
  4. Step 4: Simplify right side
    2,113.84x = 2,070,494.16
  5. Step 5: Solve for x
    x = 2,070,494.16/2,113.84
  6. Step 6: Final answer
    x = 979.49

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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.