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Finding the Fourth Proportional to 1,890.16, 2,834.94 and 966.40

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Solution

The fourth proportional to 1,890.16, 2,834.94 and 966.40 is: 1,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.16 : 2,834.94 = 966.40 : x
  2. Step 2: Convert to fraction form
    1,890.16/2,834.94 = 966.40/x
  3. Step 3: Cross multiply
    1,890.16x = 2,834.94 × 966.40
  4. Step 4: Simplify right side
    1,890.16x = 2,739,686.02
  5. Step 5: Solve for x
    x = 2,739,686.02/1,890.16
  6. Step 6: Final answer
    x = 1,449.45

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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.