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Finding the Fourth Proportional to 2,496, 3,440.71 and 2,053.14

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Solution

The fourth proportional to 2,496, 3,440.71 and 2,053.14 is: 2,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496 : 3,440.71 = 2,053.14 : x
  2. Step 2: Convert to fraction form
    2,496/3,440.71 = 2,053.14/x
  3. Step 3: Cross multiply
    2,496x = 3,440.71 × 2,053.14
  4. Step 4: Simplify right side
    2,496x = 7,064,259.33
  5. Step 5: Solve for x
    x = 7,064,259.33/2,496
  6. Step 6: Final answer
    x = 2,830.23

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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.