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Finding the Fourth Proportional to 1,670.31, 2,304.30 and 961.98

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Solution

The fourth proportional to 1,670.31, 2,304.30 and 961.98 is: 1,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.31 : 2,304.30 = 961.98 : x
  2. Step 2: Convert to fraction form
    1,670.31/2,304.30 = 961.98/x
  3. Step 3: Cross multiply
    1,670.31x = 2,304.30 × 961.98
  4. Step 4: Simplify right side
    1,670.31x = 2,216,690.51
  5. Step 5: Solve for x
    x = 2,216,690.51/1,670.31
  6. Step 6: Final answer
    x = 1,327.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.