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Finding the Fourth Proportional to 3,052.48, 4,577.76 and 1,000

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Solution

The fourth proportional to 3,052.48, 4,577.76 and 1,000 is: 1,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.48 : 4,577.76 = 1,000 : x
  2. Step 2: Convert to fraction form
    3,052.48/4,577.76 = 1,000/x
  3. Step 3: Cross multiply
    3,052.48x = 4,577.76 × 1,000
  4. Step 4: Simplify right side
    3,052.48x = 4,577,760
  5. Step 5: Solve for x
    x = 4,577,760/3,052.48
  6. Step 6: Final answer
    x = 1,499.69

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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.