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Finding the Fourth Proportional to 2,409.65, 3,325.61 and 1,415.02

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Solution

The fourth proportional to 2,409.65, 3,325.61 and 1,415.02 is: 1,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.65 : 3,325.61 = 1,415.02 : x
  2. Step 2: Convert to fraction form
    2,409.65/3,325.61 = 1,415.02/x
  3. Step 3: Cross multiply
    2,409.65x = 3,325.61 × 1,415.02
  4. Step 4: Simplify right side
    2,409.65x = 4,705,812.36
  5. Step 5: Solve for x
    x = 4,705,812.36/2,409.65
  6. Step 6: Final answer
    x = 1,952.90

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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.