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Finding the Fourth Proportional to 3,463.07, 4,778.54 and 1,970.81

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Solution

The fourth proportional to 3,463.07, 4,778.54 and 1,970.81 is: 2,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.07 : 4,778.54 = 1,970.81 : x
  2. Step 2: Convert to fraction form
    3,463.07/4,778.54 = 1,970.81/x
  3. Step 3: Cross multiply
    3,463.07x = 4,778.54 × 1,970.81
  4. Step 4: Simplify right side
    3,463.07x = 9,417,623.95
  5. Step 5: Solve for x
    x = 9,417,623.95/3,463.07
  6. Step 6: Final answer
    x = 2,719.44

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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.