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Finding the Fourth Proportional to 2,355.35, 3,531.63 and 894.60

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Solution

The fourth proportional to 2,355.35, 3,531.63 and 894.60 is: 1,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.35 : 3,531.63 = 894.60 : x
  2. Step 2: Convert to fraction form
    2,355.35/3,531.63 = 894.60/x
  3. Step 3: Cross multiply
    2,355.35x = 3,531.63 × 894.60
  4. Step 4: Simplify right side
    2,355.35x = 3,159,399.55
  5. Step 5: Solve for x
    x = 3,159,399.55/2,355.35
  6. Step 6: Final answer
    x = 1,341.37

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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.