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Finding the Fourth Proportional to 1,590.55, 2,376.11 and 1,266.28

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Solution

The fourth proportional to 1,590.55, 2,376.11 and 1,266.28 is: 1,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.55 : 2,376.11 = 1,266.28 : x
  2. Step 2: Convert to fraction form
    1,590.55/2,376.11 = 1,266.28/x
  3. Step 3: Cross multiply
    1,590.55x = 2,376.11 × 1,266.28
  4. Step 4: Simplify right side
    1,590.55x = 3,008,817.80
  5. Step 5: Solve for x
    x = 3,008,817.80/1,590.55
  6. Step 6: Final answer
    x = 1,891.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.