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Finding the Fourth Proportional to 3,124.36, 4,312.47 and 1,798.48

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Solution

The fourth proportional to 3,124.36, 4,312.47 and 1,798.48 is: 2,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.36 : 4,312.47 = 1,798.48 : x
  2. Step 2: Convert to fraction form
    3,124.36/4,312.47 = 1,798.48/x
  3. Step 3: Cross multiply
    3,124.36x = 4,312.47 × 1,798.48
  4. Step 4: Simplify right side
    3,124.36x = 7,755,891.05
  5. Step 5: Solve for x
    x = 7,755,891.05/3,124.36
  6. Step 6: Final answer
    x = 2,482.39

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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.