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Finding the Fourth Proportional to 1,832.48, 2,531.32 and 1,774.16

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Solution

The fourth proportional to 1,832.48, 2,531.32 and 1,774.16 is: 2,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.48 : 2,531.32 = 1,774.16 : x
  2. Step 2: Convert to fraction form
    1,832.48/2,531.32 = 1,774.16/x
  3. Step 3: Cross multiply
    1,832.48x = 2,531.32 × 1,774.16
  4. Step 4: Simplify right side
    1,832.48x = 4,490,966.69
  5. Step 5: Solve for x
    x = 4,490,966.69/1,832.48
  6. Step 6: Final answer
    x = 2,450.76

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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.