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Finding the Fourth Proportional to 1,247.14, 1,870.32 and 899.41

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Solution

The fourth proportional to 1,247.14, 1,870.32 and 899.41 is: 1,348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.14 : 1,870.32 = 899.41 : x
  2. Step 2: Convert to fraction form
    1,247.14/1,870.32 = 899.41/x
  3. Step 3: Cross multiply
    1,247.14x = 1,870.32 × 899.41
  4. Step 4: Simplify right side
    1,247.14x = 1,682,184.51
  5. Step 5: Solve for x
    x = 1,682,184.51/1,247.14
  6. Step 6: Final answer
    x = 1,348.83

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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.