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Finding the Fourth Proportional to 1,605.28, 2,210 and 1,342.88

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Solution

The fourth proportional to 1,605.28, 2,210 and 1,342.88 is: 1,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.28 : 2,210 = 1,342.88 : x
  2. Step 2: Convert to fraction form
    1,605.28/2,210 = 1,342.88/x
  3. Step 3: Cross multiply
    1,605.28x = 2,210 × 1,342.88
  4. Step 4: Simplify right side
    1,605.28x = 2,967,764.80
  5. Step 5: Solve for x
    x = 2,967,764.80/1,605.28
  6. Step 6: Final answer
    x = 1,848.75

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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.