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Finding the Fourth Proportional to 2,455.34, 3,683.04 and 2,264.91

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Solution

The fourth proportional to 2,455.34, 3,683.04 and 2,264.91 is: 3,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.34 : 3,683.04 = 2,264.91 : x
  2. Step 2: Convert to fraction form
    2,455.34/3,683.04 = 2,264.91/x
  3. Step 3: Cross multiply
    2,455.34x = 3,683.04 × 2,264.91
  4. Step 4: Simplify right side
    2,455.34x = 8,341,731.82
  5. Step 5: Solve for x
    x = 8,341,731.82/2,455.34
  6. Step 6: Final answer
    x = 3,397.39

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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.