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Finding the Fourth Proportional to 1,389.21, 2,081.65 and 875.13

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Solution

The fourth proportional to 1,389.21, 2,081.65 and 875.13 is: 1,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.21 : 2,081.65 = 875.13 : x
  2. Step 2: Convert to fraction form
    1,389.21/2,081.65 = 875.13/x
  3. Step 3: Cross multiply
    1,389.21x = 2,081.65 × 875.13
  4. Step 4: Simplify right side
    1,389.21x = 1,821,714.36
  5. Step 5: Solve for x
    x = 1,821,714.36/1,389.21
  6. Step 6: Final answer
    x = 1,311.33

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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.