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Finding the Fourth Proportional to 1,489.82, 2,056.13 and 900.41

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Solution

The fourth proportional to 1,489.82, 2,056.13 and 900.41 is: 1,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.82 : 2,056.13 = 900.41 : x
  2. Step 2: Convert to fraction form
    1,489.82/2,056.13 = 900.41/x
  3. Step 3: Cross multiply
    1,489.82x = 2,056.13 × 900.41
  4. Step 4: Simplify right side
    1,489.82x = 1,851,345.23
  5. Step 5: Solve for x
    x = 1,851,345.23/1,489.82
  6. Step 6: Final answer
    x = 1,242.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.