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Finding the Fourth Proportional to 2,916.39, 4,024.62 and 1,590.10

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Solution

The fourth proportional to 2,916.39, 4,024.62 and 1,590.10 is: 2,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.39 : 4,024.62 = 1,590.10 : x
  2. Step 2: Convert to fraction form
    2,916.39/4,024.62 = 1,590.10/x
  3. Step 3: Cross multiply
    2,916.39x = 4,024.62 × 1,590.10
  4. Step 4: Simplify right side
    2,916.39x = 6,399,548.26
  5. Step 5: Solve for x
    x = 6,399,548.26/2,916.39
  6. Step 6: Final answer
    x = 2,194.34

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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.