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Finding the Fourth Proportional to 3,048.68, 4,570.35 and 1,466.61

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Solution

The fourth proportional to 3,048.68, 4,570.35 and 1,466.61 is: 2,198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.68 : 4,570.35 = 1,466.61 : x
  2. Step 2: Convert to fraction form
    3,048.68/4,570.35 = 1,466.61/x
  3. Step 3: Cross multiply
    3,048.68x = 4,570.35 × 1,466.61
  4. Step 4: Simplify right side
    3,048.68x = 6,702,890.83
  5. Step 5: Solve for x
    x = 6,702,890.83/3,048.68
  6. Step 6: Final answer
    x = 2,198.62

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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.