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Finding the Fourth Proportional to 2,409.36, 3,620.13 and 2,312.16

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Solution

The fourth proportional to 2,409.36, 3,620.13 and 2,312.16 is: 3,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.36 : 3,620.13 = 2,312.16 : x
  2. Step 2: Convert to fraction form
    2,409.36/3,620.13 = 2,312.16/x
  3. Step 3: Cross multiply
    2,409.36x = 3,620.13 × 2,312.16
  4. Step 4: Simplify right side
    2,409.36x = 8,370,319.78
  5. Step 5: Solve for x
    x = 8,370,319.78/2,409.36
  6. Step 6: Final answer
    x = 3,474.08

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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.