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Finding the Fourth Proportional to 1,846.83, 2,548.63 and 1,007.54

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Solution

The fourth proportional to 1,846.83, 2,548.63 and 1,007.54 is: 1,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.83 : 2,548.63 = 1,007.54 : x
  2. Step 2: Convert to fraction form
    1,846.83/2,548.63 = 1,007.54/x
  3. Step 3: Cross multiply
    1,846.83x = 2,548.63 × 1,007.54
  4. Step 4: Simplify right side
    1,846.83x = 2,567,831.91
  5. Step 5: Solve for x
    x = 2,567,831.91/1,846.83
  6. Step 6: Final answer
    x = 1,390.40

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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.