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Finding the Fourth Proportional to 1,354.07, 2,030.29 and 919.91

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Solution

The fourth proportional to 1,354.07, 2,030.29 and 919.91 is: 1,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.07 : 2,030.29 = 919.91 : x
  2. Step 2: Convert to fraction form
    1,354.07/2,030.29 = 919.91/x
  3. Step 3: Cross multiply
    1,354.07x = 2,030.29 × 919.91
  4. Step 4: Simplify right side
    1,354.07x = 1,867,684.07
  5. Step 5: Solve for x
    x = 1,867,684.07/1,354.07
  6. Step 6: Final answer
    x = 1,379.31

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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.