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Finding the Fourth Proportional to 2,416.53, 3,336.44 and 1,509.42

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Solution

The fourth proportional to 2,416.53, 3,336.44 and 1,509.42 is: 2,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.53 : 3,336.44 = 1,509.42 : x
  2. Step 2: Convert to fraction form
    2,416.53/3,336.44 = 1,509.42/x
  3. Step 3: Cross multiply
    2,416.53x = 3,336.44 × 1,509.42
  4. Step 4: Simplify right side
    2,416.53x = 5,036,081.72
  5. Step 5: Solve for x
    x = 5,036,081.72/2,416.53
  6. Step 6: Final answer
    x = 2,084.01

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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.