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Finding the Fourth Proportional to 1,362.63, 2,030.41 and 1,296.51

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Solution

The fourth proportional to 1,362.63, 2,030.41 and 1,296.51 is: 1,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.63 : 2,030.41 = 1,296.51 : x
  2. Step 2: Convert to fraction form
    1,362.63/2,030.41 = 1,296.51/x
  3. Step 3: Cross multiply
    1,362.63x = 2,030.41 × 1,296.51
  4. Step 4: Simplify right side
    1,362.63x = 2,632,440.39
  5. Step 5: Solve for x
    x = 2,632,440.39/1,362.63
  6. Step 6: Final answer
    x = 1,931.88

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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.