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Finding the Fourth Proportional to 3,064.60, 4,588.65 and 1,600.66

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Solution

The fourth proportional to 3,064.60, 4,588.65 and 1,600.66 is: 2,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.60 : 4,588.65 = 1,600.66 : x
  2. Step 2: Convert to fraction form
    3,064.60/4,588.65 = 1,600.66/x
  3. Step 3: Cross multiply
    3,064.60x = 4,588.65 × 1,600.66
  4. Step 4: Simplify right side
    3,064.60x = 7,344,868.51
  5. Step 5: Solve for x
    x = 7,344,868.51/3,064.60
  6. Step 6: Final answer
    x = 2,396.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.