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Finding the Fourth Proportional to 1,605.61, 2,216.72 and 1,047.05

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Solution

The fourth proportional to 1,605.61, 2,216.72 and 1,047.05 is: 1,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.61 : 2,216.72 = 1,047.05 : x
  2. Step 2: Convert to fraction form
    1,605.61/2,216.72 = 1,047.05/x
  3. Step 3: Cross multiply
    1,605.61x = 2,216.72 × 1,047.05
  4. Step 4: Simplify right side
    1,605.61x = 2,321,019.21
  5. Step 5: Solve for x
    x = 2,321,019.21/1,605.61
  6. Step 6: Final answer
    x = 1,445.57

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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.