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Finding the Fourth Proportional to 3,178.51, 4,386.19 and 1,762.11

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Solution

The fourth proportional to 3,178.51, 4,386.19 and 1,762.11 is: 2,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.51 : 4,386.19 = 1,762.11 : x
  2. Step 2: Convert to fraction form
    3,178.51/4,386.19 = 1,762.11/x
  3. Step 3: Cross multiply
    3,178.51x = 4,386.19 × 1,762.11
  4. Step 4: Simplify right side
    3,178.51x = 7,728,949.26
  5. Step 5: Solve for x
    x = 7,728,949.26/3,178.51
  6. Step 6: Final answer
    x = 2,431.63

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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.