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Finding the Fourth Proportional to 2,916.63, 4,024.89 and 1,590.39

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Solution

The fourth proportional to 2,916.63, 4,024.89 and 1,590.39 is: 2,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.63 : 4,024.89 = 1,590.39 : x
  2. Step 2: Convert to fraction form
    2,916.63/4,024.89 = 1,590.39/x
  3. Step 3: Cross multiply
    2,916.63x = 4,024.89 × 1,590.39
  4. Step 4: Simplify right side
    2,916.63x = 6,401,144.81
  5. Step 5: Solve for x
    x = 6,401,144.81/2,916.63
  6. Step 6: Final answer
    x = 2,194.71

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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.