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Finding the Fourth Proportional to 2,050.04, 3,073.46 and 954.26

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Solution

The fourth proportional to 2,050.04, 3,073.46 and 954.26 is: 1,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.04 : 3,073.46 = 954.26 : x
  2. Step 2: Convert to fraction form
    2,050.04/3,073.46 = 954.26/x
  3. Step 3: Cross multiply
    2,050.04x = 3,073.46 × 954.26
  4. Step 4: Simplify right side
    2,050.04x = 2,932,890.01
  5. Step 5: Solve for x
    x = 2,932,890.01/2,050.04
  6. Step 6: Final answer
    x = 1,430.65

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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.