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Finding the Fourth Proportional to 1,283.55, 1,915.25 and 1,205.18

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Solution

The fourth proportional to 1,283.55, 1,915.25 and 1,205.18 is: 1,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.55 : 1,915.25 = 1,205.18 : x
  2. Step 2: Convert to fraction form
    1,283.55/1,915.25 = 1,205.18/x
  3. Step 3: Cross multiply
    1,283.55x = 1,915.25 × 1,205.18
  4. Step 4: Simplify right side
    1,283.55x = 2,308,212.58
  5. Step 5: Solve for x
    x = 2,308,212.58/1,283.55
  6. Step 6: Final answer
    x = 1,798.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.