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Finding the Fourth Proportional to 1,605.44, 2,215.20 and 975.68

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Solution

The fourth proportional to 1,605.44, 2,215.20 and 975.68 is: 1,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.44 : 2,215.20 = 975.68 : x
  2. Step 2: Convert to fraction form
    1,605.44/2,215.20 = 975.68/x
  3. Step 3: Cross multiply
    1,605.44x = 2,215.20 × 975.68
  4. Step 4: Simplify right side
    1,605.44x = 2,161,326.34
  5. Step 5: Solve for x
    x = 2,161,326.34/1,605.44
  6. Step 6: Final answer
    x = 1,346.25

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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.