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Finding the Fourth Proportional to 1,325.32, 1,832.19 and 1,312.86

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Solution

The fourth proportional to 1,325.32, 1,832.19 and 1,312.86 is: 1,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.32 : 1,832.19 = 1,312.86 : x
  2. Step 2: Convert to fraction form
    1,325.32/1,832.19 = 1,312.86/x
  3. Step 3: Cross multiply
    1,325.32x = 1,832.19 × 1,312.86
  4. Step 4: Simplify right side
    1,325.32x = 2,405,408.96
  5. Step 5: Solve for x
    x = 2,405,408.96/1,325.32
  6. Step 6: Final answer
    x = 1,814.96

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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.