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Finding the Fourth Proportional to 1,590.98, 2,375.89 and 1,573.82

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Solution

The fourth proportional to 1,590.98, 2,375.89 and 1,573.82 is: 2,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.98 : 2,375.89 = 1,573.82 : x
  2. Step 2: Convert to fraction form
    1,590.98/2,375.89 = 1,573.82/x
  3. Step 3: Cross multiply
    1,590.98x = 2,375.89 × 1,573.82
  4. Step 4: Simplify right side
    1,590.98x = 3,739,225.20
  5. Step 5: Solve for x
    x = 3,739,225.20/1,590.98
  6. Step 6: Final answer
    x = 2,350.26

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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.