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Finding the Fourth Proportional to 3,074.84, 4,612.25 and 2,455.64

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Solution

The fourth proportional to 3,074.84, 4,612.25 and 2,455.64 is: 3,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.84 : 4,612.25 = 2,455.64 : x
  2. Step 2: Convert to fraction form
    3,074.84/4,612.25 = 2,455.64/x
  3. Step 3: Cross multiply
    3,074.84x = 4,612.25 × 2,455.64
  4. Step 4: Simplify right side
    3,074.84x = 11,326,043.26
  5. Step 5: Solve for x
    x = 11,326,043.26/3,074.84
  6. Step 6: Final answer
    x = 3,683.45

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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.