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Finding the Fourth Proportional to 3,036.69, 4,190.64 and 1,710.41

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Solution

The fourth proportional to 3,036.69, 4,190.64 and 1,710.41 is: 2,360.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.69 : 4,190.64 = 1,710.41 : x
  2. Step 2: Convert to fraction form
    3,036.69/4,190.64 = 1,710.41/x
  3. Step 3: Cross multiply
    3,036.69x = 4,190.64 × 1,710.41
  4. Step 4: Simplify right side
    3,036.69x = 7,167,712.56
  5. Step 5: Solve for x
    x = 7,167,712.56/3,036.69
  6. Step 6: Final answer
    x = 2,360.37

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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.