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Finding the Fourth Proportional to 2,362.96, 3,261 and 1,368.06

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Solution

The fourth proportional to 2,362.96, 3,261 and 1,368.06 is: 1,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.96 : 3,261 = 1,368.06 : x
  2. Step 2: Convert to fraction form
    2,362.96/3,261 = 1,368.06/x
  3. Step 3: Cross multiply
    2,362.96x = 3,261 × 1,368.06
  4. Step 4: Simplify right side
    2,362.96x = 4,461,243.66
  5. Step 5: Solve for x
    x = 4,461,243.66/2,362.96
  6. Step 6: Final answer
    x = 1,887.99

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Why These Related Problems?

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