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Finding the Fourth Proportional to 1,823.22, 2,732.55 and 782.00

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Solution

The fourth proportional to 1,823.22, 2,732.55 and 782.00 is: 1,172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.22 : 2,732.55 = 782.00 : x
  2. Step 2: Convert to fraction form
    1,823.22/2,732.55 = 782.00/x
  3. Step 3: Cross multiply
    1,823.22x = 2,732.55 × 782.00
  4. Step 4: Simplify right side
    1,823.22x = 2,136,840.44
  5. Step 5: Solve for x
    x = 2,136,840.44/1,823.22
  6. Step 6: Final answer
    x = 1,172.01

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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.