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Finding the Fourth Proportional to 2,425.02, 3,638.13 and 693.63

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Solution

The fourth proportional to 2,425.02, 3,638.13 and 693.63 is: 1,040.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.02 : 3,638.13 = 693.63 : x
  2. Step 2: Convert to fraction form
    2,425.02/3,638.13 = 693.63/x
  3. Step 3: Cross multiply
    2,425.02x = 3,638.13 × 693.63
  4. Step 4: Simplify right side
    2,425.02x = 2,523,516.11
  5. Step 5: Solve for x
    x = 2,523,516.11/2,425.02
  6. Step 6: Final answer
    x = 1,040.62

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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.