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Finding the Fourth Proportional to 1,307.98, 1,970.96 and 1,081.95

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Solution

The fourth proportional to 1,307.98, 1,970.96 and 1,081.95 is: 1,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.98 : 1,970.96 = 1,081.95 : x
  2. Step 2: Convert to fraction form
    1,307.98/1,970.96 = 1,081.95/x
  3. Step 3: Cross multiply
    1,307.98x = 1,970.96 × 1,081.95
  4. Step 4: Simplify right side
    1,307.98x = 2,132,490.27
  5. Step 5: Solve for x
    x = 2,132,490.27/1,307.98
  6. Step 6: Final answer
    x = 1,630.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.