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Finding the Fourth Proportional to 1,605.67, 2,406.35 and 631.51

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Solution

The fourth proportional to 1,605.67, 2,406.35 and 631.51 is: 946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.67 : 2,406.35 = 631.51 : x
  2. Step 2: Convert to fraction form
    1,605.67/2,406.35 = 631.51/x
  3. Step 3: Cross multiply
    1,605.67x = 2,406.35 × 631.51
  4. Step 4: Simplify right side
    1,605.67x = 1,519,630.93
  5. Step 5: Solve for x
    x = 1,519,630.93/1,605.67
  6. Step 6: Final answer
    x = 946.42

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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.