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Finding the Fourth Proportional to 1,605.77, 2,217.06 and 1,008.53

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Solution

The fourth proportional to 1,605.77, 2,217.06 and 1,008.53 is: 1,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.77 : 2,217.06 = 1,008.53 : x
  2. Step 2: Convert to fraction form
    1,605.77/2,217.06 = 1,008.53/x
  3. Step 3: Cross multiply
    1,605.77x = 2,217.06 × 1,008.53
  4. Step 4: Simplify right side
    1,605.77x = 2,235,955.39
  5. Step 5: Solve for x
    x = 2,235,955.39/1,605.77
  6. Step 6: Final answer
    x = 1,392.45

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Why These Related Problems?

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