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Finding the Fourth Proportional to 1,653.85, 2,278.65 and 1,093.33

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Solution

The fourth proportional to 1,653.85, 2,278.65 and 1,093.33 is: 1,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.85 : 2,278.65 = 1,093.33 : x
  2. Step 2: Convert to fraction form
    1,653.85/2,278.65 = 1,093.33/x
  3. Step 3: Cross multiply
    1,653.85x = 2,278.65 × 1,093.33
  4. Step 4: Simplify right side
    1,653.85x = 2,491,316.40
  5. Step 5: Solve for x
    x = 2,491,316.40/1,653.85
  6. Step 6: Final answer
    x = 1,506.37

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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.