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Finding the Fourth Proportional to 1,833.71, 2,750.01 and 1,541.30

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Solution

The fourth proportional to 1,833.71, 2,750.01 and 1,541.30 is: 2,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.71 : 2,750.01 = 1,541.30 : x
  2. Step 2: Convert to fraction form
    1,833.71/2,750.01 = 1,541.30/x
  3. Step 3: Cross multiply
    1,833.71x = 2,750.01 × 1,541.30
  4. Step 4: Simplify right side
    1,833.71x = 4,238,590.41
  5. Step 5: Solve for x
    x = 4,238,590.41/1,833.71
  6. Step 6: Final answer
    x = 2,311.48

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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.