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Finding the Fourth Proportional to 2,129.40, 2,938.32 and 1,245

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Solution

The fourth proportional to 2,129.40, 2,938.32 and 1,245 is: 1,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.40 : 2,938.32 = 1,245 : x
  2. Step 2: Convert to fraction form
    2,129.40/2,938.32 = 1,245/x
  3. Step 3: Cross multiply
    2,129.40x = 2,938.32 × 1,245
  4. Step 4: Simplify right side
    2,129.40x = 3,658,208.40
  5. Step 5: Solve for x
    x = 3,658,208.40/2,129.40
  6. Step 6: Final answer
    x = 1,717.95

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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.