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Finding the Fourth Proportional to 4,602.84, 6,900.10 and 1,680.46

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Solution

The fourth proportional to 4,602.84, 6,900.10 and 1,680.46 is: 2,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.84 : 6,900.10 = 1,680.46 : x
  2. Step 2: Convert to fraction form
    4,602.84/6,900.10 = 1,680.46/x
  3. Step 3: Cross multiply
    4,602.84x = 6,900.10 × 1,680.46
  4. Step 4: Simplify right side
    4,602.84x = 11,595,342.05
  5. Step 5: Solve for x
    x = 11,595,342.05/4,602.84
  6. Step 6: Final answer
    x = 2,519.17

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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.