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Finding the Fourth Proportional to 4,602.82, 6,901.46 and 2,069.45

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Solution

The fourth proportional to 4,602.82, 6,901.46 and 2,069.45 is: 3,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.82 : 6,901.46 = 2,069.45 : x
  2. Step 2: Convert to fraction form
    4,602.82/6,901.46 = 2,069.45/x
  3. Step 3: Cross multiply
    4,602.82x = 6,901.46 × 2,069.45
  4. Step 4: Simplify right side
    4,602.82x = 14,282,226.40
  5. Step 5: Solve for x
    x = 14,282,226.40/4,602.82
  6. Step 6: Final answer
    x = 3,102.93

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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.