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Finding the Fourth Proportional to 3,410.51, 4,707.45 and 1,994.63

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Solution

The fourth proportional to 3,410.51, 4,707.45 and 1,994.63 is: 2,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.51 : 4,707.45 = 1,994.63 : x
  2. Step 2: Convert to fraction form
    3,410.51/4,707.45 = 1,994.63/x
  3. Step 3: Cross multiply
    3,410.51x = 4,707.45 × 1,994.63
  4. Step 4: Simplify right side
    3,410.51x = 9,389,597.46
  5. Step 5: Solve for x
    x = 9,389,597.46/3,410.51
  6. Step 6: Final answer
    x = 2,753.14

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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.