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Finding the Fourth Proportional to 2,046.64, 3,069.96 and 507.64

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Solution

The fourth proportional to 2,046.64, 3,069.96 and 507.64 is: 761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.64 : 3,069.96 = 507.64 : x
  2. Step 2: Convert to fraction form
    2,046.64/3,069.96 = 507.64/x
  3. Step 3: Cross multiply
    2,046.64x = 3,069.96 × 507.64
  4. Step 4: Simplify right side
    2,046.64x = 1,558,434.49
  5. Step 5: Solve for x
    x = 1,558,434.49/2,046.64
  6. Step 6: Final answer
    x = 761.46

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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.