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Finding the Fourth Proportional to 2,455.44, 3,683.52 and 1,416

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Solution

The fourth proportional to 2,455.44, 3,683.52 and 1,416 is: 2,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.44 : 3,683.52 = 1,416 : x
  2. Step 2: Convert to fraction form
    2,455.44/3,683.52 = 1,416/x
  3. Step 3: Cross multiply
    2,455.44x = 3,683.52 × 1,416
  4. Step 4: Simplify right side
    2,455.44x = 5,215,864.32
  5. Step 5: Solve for x
    x = 5,215,864.32/2,455.44
  6. Step 6: Final answer
    x = 2,124.21

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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.