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Finding the Fourth Proportional to 3,059.89, 4,590.41 and 1,416.44

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Solution

The fourth proportional to 3,059.89, 4,590.41 and 1,416.44 is: 2,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.89 : 4,590.41 = 1,416.44 : x
  2. Step 2: Convert to fraction form
    3,059.89/4,590.41 = 1,416.44/x
  3. Step 3: Cross multiply
    3,059.89x = 4,590.41 × 1,416.44
  4. Step 4: Simplify right side
    3,059.89x = 6,502,040.34
  5. Step 5: Solve for x
    x = 6,502,040.34/3,059.89
  6. Step 6: Final answer
    x = 2,124.93

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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.