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Finding the Fourth Proportional to 1,483.32, 2,222.37 and 989.46

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Solution

The fourth proportional to 1,483.32, 2,222.37 and 989.46 is: 1,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.32 : 2,222.37 = 989.46 : x
  2. Step 2: Convert to fraction form
    1,483.32/2,222.37 = 989.46/x
  3. Step 3: Cross multiply
    1,483.32x = 2,222.37 × 989.46
  4. Step 4: Simplify right side
    1,483.32x = 2,198,946.22
  5. Step 5: Solve for x
    x = 2,198,946.22/1,483.32
  6. Step 6: Final answer
    x = 1,482.45

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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.