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Finding the Fourth Proportional to 1,301.13, 1,960.47 and 1,075.08

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Solution

The fourth proportional to 1,301.13, 1,960.47 and 1,075.08 is: 1,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.13 : 1,960.47 = 1,075.08 : x
  2. Step 2: Convert to fraction form
    1,301.13/1,960.47 = 1,075.08/x
  3. Step 3: Cross multiply
    1,301.13x = 1,960.47 × 1,075.08
  4. Step 4: Simplify right side
    1,301.13x = 2,107,669.44
  5. Step 5: Solve for x
    x = 2,107,669.44/1,301.13
  6. Step 6: Final answer
    x = 1,619.88

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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.