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Finding the Fourth Proportional to 1,751.49, 2,619.14 and 1,357.02

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Solution

The fourth proportional to 1,751.49, 2,619.14 and 1,357.02 is: 2,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.49 : 2,619.14 = 1,357.02 : x
  2. Step 2: Convert to fraction form
    1,751.49/2,619.14 = 1,357.02/x
  3. Step 3: Cross multiply
    1,751.49x = 2,619.14 × 1,357.02
  4. Step 4: Simplify right side
    1,751.49x = 3,554,218.58
  5. Step 5: Solve for x
    x = 3,554,218.58/1,751.49
  6. Step 6: Final answer
    x = 2,029.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.