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Finding the Fourth Proportional to 2,117.51, 2,922.19 and 1,233.60

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Solution

The fourth proportional to 2,117.51, 2,922.19 and 1,233.60 is: 1,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.51 : 2,922.19 = 1,233.60 : x
  2. Step 2: Convert to fraction form
    2,117.51/2,922.19 = 1,233.60/x
  3. Step 3: Cross multiply
    2,117.51x = 2,922.19 × 1,233.60
  4. Step 4: Simplify right side
    2,117.51x = 3,604,813.58
  5. Step 5: Solve for x
    x = 3,604,813.58/2,117.51
  6. Step 6: Final answer
    x = 1,702.38

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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.