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Finding the Fourth Proportional to 2,333.46, 3,219.14 and 1,577

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Solution

The fourth proportional to 2,333.46, 3,219.14 and 1,577 is: 2,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.46 : 3,219.14 = 1,577 : x
  2. Step 2: Convert to fraction form
    2,333.46/3,219.14 = 1,577/x
  3. Step 3: Cross multiply
    2,333.46x = 3,219.14 × 1,577
  4. Step 4: Simplify right side
    2,333.46x = 5,076,575.90
  5. Step 5: Solve for x
    x = 5,076,575.90/2,333.46
  6. Step 6: Final answer
    x = 2,175.56

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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.