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Finding the Fourth Proportional to 3,064.18, 4,596.58 and 983.66

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Solution

The fourth proportional to 3,064.18, 4,596.58 and 983.66 is: 1,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.18 : 4,596.58 = 983.66 : x
  2. Step 2: Convert to fraction form
    3,064.18/4,596.58 = 983.66/x
  3. Step 3: Cross multiply
    3,064.18x = 4,596.58 × 983.66
  4. Step 4: Simplify right side
    3,064.18x = 4,521,471.88
  5. Step 5: Solve for x
    x = 4,521,471.88/3,064.18
  6. Step 6: Final answer
    x = 1,475.59

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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.