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Finding the Fourth Proportional to 2,983, 4,117.62 and 1,741

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Solution

The fourth proportional to 2,983, 4,117.62 and 1,741 is: 2,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983 : 4,117.62 = 1,741 : x
  2. Step 2: Convert to fraction form
    2,983/4,117.62 = 1,741/x
  3. Step 3: Cross multiply
    2,983x = 4,117.62 × 1,741
  4. Step 4: Simplify right side
    2,983x = 7,168,776.42
  5. Step 5: Solve for x
    x = 7,168,776.42/2,983
  6. Step 6: Final answer
    x = 2,403.21

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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.