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Finding the Fourth Proportional to 1,590.90, 2,383.74 and 1,530.15

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Solution

The fourth proportional to 1,590.90, 2,383.74 and 1,530.15 is: 2,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.90 : 2,383.74 = 1,530.15 : x
  2. Step 2: Convert to fraction form
    1,590.90/2,383.74 = 1,530.15/x
  3. Step 3: Cross multiply
    1,590.90x = 2,383.74 × 1,530.15
  4. Step 4: Simplify right side
    1,590.90x = 3,647,479.76
  5. Step 5: Solve for x
    x = 3,647,479.76/1,590.90
  6. Step 6: Final answer
    x = 2,292.71

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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.