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Finding the Fourth Proportional to 2,129.36, 2,938.53 and 1,244.98

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Solution

The fourth proportional to 2,129.36, 2,938.53 and 1,244.98 is: 1,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.36 : 2,938.53 = 1,244.98 : x
  2. Step 2: Convert to fraction form
    2,129.36/2,938.53 = 1,244.98/x
  3. Step 3: Cross multiply
    2,129.36x = 2,938.53 × 1,244.98
  4. Step 4: Simplify right side
    2,129.36x = 3,658,390.16
  5. Step 5: Solve for x
    x = 3,658,390.16/2,129.36
  6. Step 6: Final answer
    x = 1,718.07

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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.