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Finding the Fourth Proportional to 2,130.48, 2,939.15 and 1,244.75

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Solution

The fourth proportional to 2,130.48, 2,939.15 and 1,244.75 is: 1,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.48 : 2,939.15 = 1,244.75 : x
  2. Step 2: Convert to fraction form
    2,130.48/2,939.15 = 1,244.75/x
  3. Step 3: Cross multiply
    2,130.48x = 2,939.15 × 1,244.75
  4. Step 4: Simplify right side
    2,130.48x = 3,658,495.38
  5. Step 5: Solve for x
    x = 3,658,495.38/2,130.48
  6. Step 6: Final answer
    x = 1,717.22

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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.