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Finding the Fourth Proportional to 2,376.42, 3,564.18 and 989.70

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Solution

The fourth proportional to 2,376.42, 3,564.18 and 989.70 is: 1,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.42 : 3,564.18 = 989.70 : x
  2. Step 2: Convert to fraction form
    2,376.42/3,564.18 = 989.70/x
  3. Step 3: Cross multiply
    2,376.42x = 3,564.18 × 989.70
  4. Step 4: Simplify right side
    2,376.42x = 3,527,468.95
  5. Step 5: Solve for x
    x = 3,527,468.95/2,376.42
  6. Step 6: Final answer
    x = 1,484.36

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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.