Home / 1,647.42-2,271.51-1,314.78

Finding the Fourth Proportional to 1,647.42, 2,271.51 and 1,314.78

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Solution

The fourth proportional to 1,647.42, 2,271.51 and 1,314.78 is: 1,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.42 : 2,271.51 = 1,314.78 : x
  2. Step 2: Convert to fraction form
    1,647.42/2,271.51 = 1,314.78/x
  3. Step 3: Cross multiply
    1,647.42x = 2,271.51 × 1,314.78
  4. Step 4: Simplify right side
    1,647.42x = 2,986,535.92
  5. Step 5: Solve for x
    x = 2,986,535.92/1,647.42
  6. Step 6: Final answer
    x = 1,812.86

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