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Finding the Fourth Proportional to 4,433.40, 6,646.02 and 1,658.66

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Solution

The fourth proportional to 4,433.40, 6,646.02 and 1,658.66 is: 2,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.40 : 6,646.02 = 1,658.66 : x
  2. Step 2: Convert to fraction form
    4,433.40/6,646.02 = 1,658.66/x
  3. Step 3: Cross multiply
    4,433.40x = 6,646.02 × 1,658.66
  4. Step 4: Simplify right side
    4,433.40x = 11,023,487.53
  5. Step 5: Solve for x
    x = 11,023,487.53/4,433.40
  6. Step 6: Final answer
    x = 2,486.46

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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.