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Finding the Fourth Proportional to 1,605.75, 2,215.95 and 976.23

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Solution

The fourth proportional to 1,605.75, 2,215.95 and 976.23 is: 1,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.75 : 2,215.95 = 976.23 : x
  2. Step 2: Convert to fraction form
    1,605.75/2,215.95 = 976.23/x
  3. Step 3: Cross multiply
    1,605.75x = 2,215.95 × 976.23
  4. Step 4: Simplify right side
    1,605.75x = 2,163,276.87
  5. Step 5: Solve for x
    x = 2,163,276.87/1,605.75
  6. Step 6: Final answer
    x = 1,347.21

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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.