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Finding the Fourth Proportional to 2,508.02, 3,757.76 and 1,774

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Solution

The fourth proportional to 2,508.02, 3,757.76 and 1,774 is: 2,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.02 : 3,757.76 = 1,774 : x
  2. Step 2: Convert to fraction form
    2,508.02/3,757.76 = 1,774/x
  3. Step 3: Cross multiply
    2,508.02x = 3,757.76 × 1,774
  4. Step 4: Simplify right side
    2,508.02x = 6,666,266.24
  5. Step 5: Solve for x
    x = 6,666,266.24/2,508.02
  6. Step 6: Final answer
    x = 2,657.98

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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.