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Finding the Fourth Proportional to 2,297.08, 3,430.06 and 1,804.60

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Solution

The fourth proportional to 2,297.08, 3,430.06 and 1,804.60 is: 2,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.08 : 3,430.06 = 1,804.60 : x
  2. Step 2: Convert to fraction form
    2,297.08/3,430.06 = 1,804.60/x
  3. Step 3: Cross multiply
    2,297.08x = 3,430.06 × 1,804.60
  4. Step 4: Simplify right side
    2,297.08x = 6,189,886.28
  5. Step 5: Solve for x
    x = 6,189,886.28/2,297.08
  6. Step 6: Final answer
    x = 2,694.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.