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Finding the Fourth Proportional to 1,605.24, 2,213.66 and 975.86

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Solution

The fourth proportional to 1,605.24, 2,213.66 and 975.86 is: 1,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.24 : 2,213.66 = 975.86 : x
  2. Step 2: Convert to fraction form
    1,605.24/2,213.66 = 975.86/x
  3. Step 3: Cross multiply
    1,605.24x = 2,213.66 × 975.86
  4. Step 4: Simplify right side
    1,605.24x = 2,160,222.25
  5. Step 5: Solve for x
    x = 2,160,222.25/1,605.24
  6. Step 6: Final answer
    x = 1,345.73

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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.