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Finding the Fourth Proportional to 2,117.34, 2,921.90 and 1,233.63

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Solution

The fourth proportional to 2,117.34, 2,921.90 and 1,233.63 is: 1,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.34 : 2,921.90 = 1,233.63 : x
  2. Step 2: Convert to fraction form
    2,117.34/2,921.90 = 1,233.63/x
  3. Step 3: Cross multiply
    2,117.34x = 2,921.90 × 1,233.63
  4. Step 4: Simplify right side
    2,117.34x = 3,604,537.33
  5. Step 5: Solve for x
    x = 3,604,537.33/2,117.34
  6. Step 6: Final answer
    x = 1,702.39

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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.