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Finding the Fourth Proportional to 1,615.34, 2,423.38 and 690.41

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Solution

The fourth proportional to 1,615.34, 2,423.38 and 690.41 is: 1,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.34 : 2,423.38 = 690.41 : x
  2. Step 2: Convert to fraction form
    1,615.34/2,423.38 = 690.41/x
  3. Step 3: Cross multiply
    1,615.34x = 2,423.38 × 690.41
  4. Step 4: Simplify right side
    1,615.34x = 1,673,130.12
  5. Step 5: Solve for x
    x = 1,673,130.12/1,615.34
  6. Step 6: Final answer
    x = 1,035.78

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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.