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Finding the Fourth Proportional to 3,046.66, 4,570.10 and 966.70

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Solution

The fourth proportional to 3,046.66, 4,570.10 and 966.70 is: 1,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.66 : 4,570.10 = 966.70 : x
  2. Step 2: Convert to fraction form
    3,046.66/4,570.10 = 966.70/x
  3. Step 3: Cross multiply
    3,046.66x = 4,570.10 × 966.70
  4. Step 4: Simplify right side
    3,046.66x = 4,417,915.67
  5. Step 5: Solve for x
    x = 4,417,915.67/3,046.66
  6. Step 6: Final answer
    x = 1,450.08

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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.