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Finding the Fourth Proportional to 2,292.44, 3,438.60 and 561.06

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Solution

The fourth proportional to 2,292.44, 3,438.60 and 561.06 is: 841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.44 : 3,438.60 = 561.06 : x
  2. Step 2: Convert to fraction form
    2,292.44/3,438.60 = 561.06/x
  3. Step 3: Cross multiply
    2,292.44x = 3,438.60 × 561.06
  4. Step 4: Simplify right side
    2,292.44x = 1,929,260.92
  5. Step 5: Solve for x
    x = 1,929,260.92/2,292.44
  6. Step 6: Final answer
    x = 841.58

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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.