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Finding the Fourth Proportional to 3,162.74, 4,364.54 and 1,746.45

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Solution

The fourth proportional to 3,162.74, 4,364.54 and 1,746.45 is: 2,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.74 : 4,364.54 = 1,746.45 : x
  2. Step 2: Convert to fraction form
    3,162.74/4,364.54 = 1,746.45/x
  3. Step 3: Cross multiply
    3,162.74x = 4,364.54 × 1,746.45
  4. Step 4: Simplify right side
    3,162.74x = 7,622,442.15
  5. Step 5: Solve for x
    x = 7,622,442.15/3,162.74
  6. Step 6: Final answer
    x = 2,410.08

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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.