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Finding the Fourth Proportional to 3,005.51, 4,147.56 and 1,746.81

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Solution

The fourth proportional to 3,005.51, 4,147.56 and 1,746.81 is: 2,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.51 : 4,147.56 = 1,746.81 : x
  2. Step 2: Convert to fraction form
    3,005.51/4,147.56 = 1,746.81/x
  3. Step 3: Cross multiply
    3,005.51x = 4,147.56 × 1,746.81
  4. Step 4: Simplify right side
    3,005.51x = 7,244,999.28
  5. Step 5: Solve for x
    x = 7,244,999.28/3,005.51
  6. Step 6: Final answer
    x = 2,410.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.