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Finding the Fourth Proportional to 1,968.18, 2,713.14 and 1,303.87

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Solution

The fourth proportional to 1,968.18, 2,713.14 and 1,303.87 is: 1,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.18 : 2,713.14 = 1,303.87 : x
  2. Step 2: Convert to fraction form
    1,968.18/2,713.14 = 1,303.87/x
  3. Step 3: Cross multiply
    1,968.18x = 2,713.14 × 1,303.87
  4. Step 4: Simplify right side
    1,968.18x = 3,537,581.85
  5. Step 5: Solve for x
    x = 3,537,581.85/1,968.18
  6. Step 6: Final answer
    x = 1,797.39

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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.