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Finding the Fourth Proportional to 2,191.98, 3,024.86 and 1,307.46

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Solution

The fourth proportional to 2,191.98, 3,024.86 and 1,307.46 is: 1,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.98 : 3,024.86 = 1,307.46 : x
  2. Step 2: Convert to fraction form
    2,191.98/3,024.86 = 1,307.46/x
  3. Step 3: Cross multiply
    2,191.98x = 3,024.86 × 1,307.46
  4. Step 4: Simplify right side
    2,191.98x = 3,954,883.46
  5. Step 5: Solve for x
    x = 3,954,883.46/2,191.98
  6. Step 6: Final answer
    x = 1,804.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.