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Finding the Fourth Proportional to 1,367.91, 2,048.31 and 904.27

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Solution

The fourth proportional to 1,367.91, 2,048.31 and 904.27 is: 1,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.91 : 2,048.31 = 904.27 : x
  2. Step 2: Convert to fraction form
    1,367.91/2,048.31 = 904.27/x
  3. Step 3: Cross multiply
    1,367.91x = 2,048.31 × 904.27
  4. Step 4: Simplify right side
    1,367.91x = 1,852,225.28
  5. Step 5: Solve for x
    x = 1,852,225.28/1,367.91
  6. Step 6: Final answer
    x = 1,354.05

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