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Finding the Fourth Proportional to 2,184.86, 3,277.76 and 1,605.98

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Solution

The fourth proportional to 2,184.86, 3,277.76 and 1,605.98 is: 2,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.86 : 3,277.76 = 1,605.98 : x
  2. Step 2: Convert to fraction form
    2,184.86/3,277.76 = 1,605.98/x
  3. Step 3: Cross multiply
    2,184.86x = 3,277.76 × 1,605.98
  4. Step 4: Simplify right side
    2,184.86x = 5,264,004.63
  5. Step 5: Solve for x
    x = 5,264,004.63/2,184.86
  6. Step 6: Final answer
    x = 2,409.32

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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.