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Finding the Fourth Proportional to 2,846.69, 4,267.13 and 1,807.46

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Solution

The fourth proportional to 2,846.69, 4,267.13 and 1,807.46 is: 2,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.69 : 4,267.13 = 1,807.46 : x
  2. Step 2: Convert to fraction form
    2,846.69/4,267.13 = 1,807.46/x
  3. Step 3: Cross multiply
    2,846.69x = 4,267.13 × 1,807.46
  4. Step 4: Simplify right side
    2,846.69x = 7,712,636.42
  5. Step 5: Solve for x
    x = 7,712,636.42/2,846.69
  6. Step 6: Final answer
    x = 2,709.34

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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.