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Finding the Fourth Proportional to 3,046.29, 4,570.65 and 1,814.28

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Solution

The fourth proportional to 3,046.29, 4,570.65 and 1,814.28 is: 2,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.29 : 4,570.65 = 1,814.28 : x
  2. Step 2: Convert to fraction form
    3,046.29/4,570.65 = 1,814.28/x
  3. Step 3: Cross multiply
    3,046.29x = 4,570.65 × 1,814.28
  4. Step 4: Simplify right side
    3,046.29x = 8,292,438.88
  5. Step 5: Solve for x
    x = 8,292,438.88/3,046.29
  6. Step 6: Final answer
    x = 2,722.14

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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.