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Finding the Fourth Proportional to 2,916.44, 4,024.67 and 1,590.14

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Solution

The fourth proportional to 2,916.44, 4,024.67 and 1,590.14 is: 2,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.44 : 4,024.67 = 1,590.14 : x
  2. Step 2: Convert to fraction form
    2,916.44/4,024.67 = 1,590.14/x
  3. Step 3: Cross multiply
    2,916.44x = 4,024.67 × 1,590.14
  4. Step 4: Simplify right side
    2,916.44x = 6,399,788.75
  5. Step 5: Solve for x
    x = 6,399,788.75/2,916.44
  6. Step 6: Final answer
    x = 2,194.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.