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Finding the Fourth Proportional to 1,307.58, 1,963.71 and 1,203.26

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Solution

The fourth proportional to 1,307.58, 1,963.71 and 1,203.26 is: 1,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.58 : 1,963.71 = 1,203.26 : x
  2. Step 2: Convert to fraction form
    1,307.58/1,963.71 = 1,203.26/x
  3. Step 3: Cross multiply
    1,307.58x = 1,963.71 × 1,203.26
  4. Step 4: Simplify right side
    1,307.58x = 2,362,843.88
  5. Step 5: Solve for x
    x = 2,362,843.88/1,307.58
  6. Step 6: Final answer
    x = 1,807.04

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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.