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Finding the Fourth Proportional to 2,416.69, 3,619.54 and 2,362.02

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Solution

The fourth proportional to 2,416.69, 3,619.54 and 2,362.02 is: 3,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.69 : 3,619.54 = 2,362.02 : x
  2. Step 2: Convert to fraction form
    2,416.69/3,619.54 = 2,362.02/x
  3. Step 3: Cross multiply
    2,416.69x = 3,619.54 × 2,362.02
  4. Step 4: Simplify right side
    2,416.69x = 8,549,425.87
  5. Step 5: Solve for x
    x = 8,549,425.87/2,416.69
  6. Step 6: Final answer
    x = 3,537.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.