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Finding the Fourth Proportional to 2,376.76, 3,562.25 and 1,683.63

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Solution

The fourth proportional to 2,376.76, 3,562.25 and 1,683.63 is: 2,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.76 : 3,562.25 = 1,683.63 : x
  2. Step 2: Convert to fraction form
    2,376.76/3,562.25 = 1,683.63/x
  3. Step 3: Cross multiply
    2,376.76x = 3,562.25 × 1,683.63
  4. Step 4: Simplify right side
    2,376.76x = 5,997,510.97
  5. Step 5: Solve for x
    x = 5,997,510.97/2,376.76
  6. Step 6: Final answer
    x = 2,523.40

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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.