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Finding the Fourth Proportional to 1,615.24, 2,423.31 and 690.85

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Solution

The fourth proportional to 1,615.24, 2,423.31 and 690.85 is: 1,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.24 : 2,423.31 = 690.85 : x
  2. Step 2: Convert to fraction form
    1,615.24/2,423.31 = 690.85/x
  3. Step 3: Cross multiply
    1,615.24x = 2,423.31 × 690.85
  4. Step 4: Simplify right side
    1,615.24x = 1,674,143.71
  5. Step 5: Solve for x
    x = 1,674,143.71/1,615.24
  6. Step 6: Final answer
    x = 1,036.47

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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.