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Finding the Fourth Proportional to 1,895.67, 2,615.67 and 1,109.52

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Solution

The fourth proportional to 1,895.67, 2,615.67 and 1,109.52 is: 1,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.67 : 2,615.67 = 1,109.52 : x
  2. Step 2: Convert to fraction form
    1,895.67/2,615.67 = 1,109.52/x
  3. Step 3: Cross multiply
    1,895.67x = 2,615.67 × 1,109.52
  4. Step 4: Simplify right side
    1,895.67x = 2,902,138.18
  5. Step 5: Solve for x
    x = 2,902,138.18/1,895.67
  6. Step 6: Final answer
    x = 1,530.93

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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.