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Finding the Fourth Proportional to 2,515.40, 3,773.72 and 1,782.76

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Solution

The fourth proportional to 2,515.40, 3,773.72 and 1,782.76 is: 2,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.40 : 3,773.72 = 1,782.76 : x
  2. Step 2: Convert to fraction form
    2,515.40/3,773.72 = 1,782.76/x
  3. Step 3: Cross multiply
    2,515.40x = 3,773.72 × 1,782.76
  4. Step 4: Simplify right side
    2,515.40x = 6,727,637.07
  5. Step 5: Solve for x
    x = 6,727,637.07/2,515.40
  6. Step 6: Final answer
    x = 2,674.58

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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.