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Finding the Fourth Proportional to 3,178.56, 4,386.28 and 1,762.24

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Solution

The fourth proportional to 3,178.56, 4,386.28 and 1,762.24 is: 2,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.56 : 4,386.28 = 1,762.24 : x
  2. Step 2: Convert to fraction form
    3,178.56/4,386.28 = 1,762.24/x
  3. Step 3: Cross multiply
    3,178.56x = 4,386.28 × 1,762.24
  4. Step 4: Simplify right side
    3,178.56x = 7,729,678.07
  5. Step 5: Solve for x
    x = 7,729,678.07/3,178.56
  6. Step 6: Final answer
    x = 2,431.82

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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.