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Finding the Fourth Proportional to 2,414.63, 3,615.05 and 1,590.39

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Solution

The fourth proportional to 2,414.63, 3,615.05 and 1,590.39 is: 2,381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.63 : 3,615.05 = 1,590.39 : x
  2. Step 2: Convert to fraction form
    2,414.63/3,615.05 = 1,590.39/x
  3. Step 3: Cross multiply
    2,414.63x = 3,615.05 × 1,590.39
  4. Step 4: Simplify right side
    2,414.63x = 5,749,339.37
  5. Step 5: Solve for x
    x = 5,749,339.37/2,414.63
  6. Step 6: Final answer
    x = 2,381.04

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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.