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Finding the Fourth Proportional to 1,828.42, 2,741.80 and 787.93

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Solution

The fourth proportional to 1,828.42, 2,741.80 and 787.93 is: 1,181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.42 : 2,741.80 = 787.93 : x
  2. Step 2: Convert to fraction form
    1,828.42/2,741.80 = 787.93/x
  3. Step 3: Cross multiply
    1,828.42x = 2,741.80 × 787.93
  4. Step 4: Simplify right side
    1,828.42x = 2,160,339.13
  5. Step 5: Solve for x
    x = 2,160,339.13/1,828.42
  6. Step 6: Final answer
    x = 1,181.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.