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Finding the Fourth Proportional to 2,935.61, 4,403.42 and 989.18

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Solution

The fourth proportional to 2,935.61, 4,403.42 and 989.18 is: 1,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.61 : 4,403.42 = 989.18 : x
  2. Step 2: Convert to fraction form
    2,935.61/4,403.42 = 989.18/x
  3. Step 3: Cross multiply
    2,935.61x = 4,403.42 × 989.18
  4. Step 4: Simplify right side
    2,935.61x = 4,355,748.03
  5. Step 5: Solve for x
    x = 4,355,748.03/2,935.61
  6. Step 6: Final answer
    x = 1,483.77

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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.