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Finding the Fourth Proportional to 1,851.71, 2,778.93 and 1,490.86

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Solution

The fourth proportional to 1,851.71, 2,778.93 and 1,490.86 is: 2,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.71 : 2,778.93 = 1,490.86 : x
  2. Step 2: Convert to fraction form
    1,851.71/2,778.93 = 1,490.86/x
  3. Step 3: Cross multiply
    1,851.71x = 2,778.93 × 1,490.86
  4. Step 4: Simplify right side
    1,851.71x = 4,142,987.62
  5. Step 5: Solve for x
    x = 4,142,987.62/1,851.71
  6. Step 6: Final answer
    x = 2,237.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.