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Finding the Fourth Proportional to 1,895.63, 2,616.01 and 1,109.66

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Solution

The fourth proportional to 1,895.63, 2,616.01 and 1,109.66 is: 1,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.63 : 2,616.01 = 1,109.66 : x
  2. Step 2: Convert to fraction form
    1,895.63/2,616.01 = 1,109.66/x
  3. Step 3: Cross multiply
    1,895.63x = 2,616.01 × 1,109.66
  4. Step 4: Simplify right side
    1,895.63x = 2,902,865.80
  5. Step 5: Solve for x
    x = 2,902,865.80/1,895.63
  6. Step 6: Final answer
    x = 1,531.35

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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.