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Finding the Fourth Proportional to 3,046.56, 4,564.44 and 1,810.32

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Solution

The fourth proportional to 3,046.56, 4,564.44 and 1,810.32 is: 2,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.56 : 4,564.44 = 1,810.32 : x
  2. Step 2: Convert to fraction form
    3,046.56/4,564.44 = 1,810.32/x
  3. Step 3: Cross multiply
    3,046.56x = 4,564.44 × 1,810.32
  4. Step 4: Simplify right side
    3,046.56x = 8,263,097.02
  5. Step 5: Solve for x
    x = 8,263,097.02/3,046.56
  6. Step 6: Final answer
    x = 2,712.27

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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.