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Finding the Fourth Proportional to 3,066.58, 4,602.75 and 1,606.75

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Solution

The fourth proportional to 3,066.58, 4,602.75 and 1,606.75 is: 2,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.58 : 4,602.75 = 1,606.75 : x
  2. Step 2: Convert to fraction form
    3,066.58/4,602.75 = 1,606.75/x
  3. Step 3: Cross multiply
    3,066.58x = 4,602.75 × 1,606.75
  4. Step 4: Simplify right side
    3,066.58x = 7,395,468.56
  5. Step 5: Solve for x
    x = 7,395,468.56/3,066.58
  6. Step 6: Final answer
    x = 2,411.64

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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.