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Finding the Fourth Proportional to 3,261.47, 4,894.43 and 1,313.82

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Solution

The fourth proportional to 3,261.47, 4,894.43 and 1,313.82 is: 1,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.47 : 4,894.43 = 1,313.82 : x
  2. Step 2: Convert to fraction form
    3,261.47/4,894.43 = 1,313.82/x
  3. Step 3: Cross multiply
    3,261.47x = 4,894.43 × 1,313.82
  4. Step 4: Simplify right side
    3,261.47x = 6,430,393.45
  5. Step 5: Solve for x
    x = 6,430,393.45/3,261.47
  6. Step 6: Final answer
    x = 1,971.63

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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.