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Finding the Fourth Proportional to 1,509.51, 2,083.34 and 846.44

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Solution

The fourth proportional to 1,509.51, 2,083.34 and 846.44 is: 1,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.51 : 2,083.34 = 846.44 : x
  2. Step 2: Convert to fraction form
    1,509.51/2,083.34 = 846.44/x
  3. Step 3: Cross multiply
    1,509.51x = 2,083.34 × 846.44
  4. Step 4: Simplify right side
    1,509.51x = 1,763,414.01
  5. Step 5: Solve for x
    x = 1,763,414.01/1,509.51
  6. Step 6: Final answer
    x = 1,168.20

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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.