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Finding the Fourth Proportional to 2,113.34, 2,916.38 and 1,169.19

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Solution

The fourth proportional to 2,113.34, 2,916.38 and 1,169.19 is: 1,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.34 : 2,916.38 = 1,169.19 : x
  2. Step 2: Convert to fraction form
    2,113.34/2,916.38 = 1,169.19/x
  3. Step 3: Cross multiply
    2,113.34x = 2,916.38 × 1,169.19
  4. Step 4: Simplify right side
    2,113.34x = 3,409,805.26
  5. Step 5: Solve for x
    x = 3,409,805.26/2,113.34
  6. Step 6: Final answer
    x = 1,613.47

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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.