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Finding the Fourth Proportional to 2,590.43, 3,883.52 and 945.93

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Solution

The fourth proportional to 2,590.43, 3,883.52 and 945.93 is: 1,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.43 : 3,883.52 = 945.93 : x
  2. Step 2: Convert to fraction form
    2,590.43/3,883.52 = 945.93/x
  3. Step 3: Cross multiply
    2,590.43x = 3,883.52 × 945.93
  4. Step 4: Simplify right side
    2,590.43x = 3,673,533.34
  5. Step 5: Solve for x
    x = 3,673,533.34/2,590.43
  6. Step 6: Final answer
    x = 1,418.12

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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.