Home / 1,506.72-2,257.65-1,071.75

Finding the Fourth Proportional to 1,506.72, 2,257.65 and 1,071.75

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Solution

The fourth proportional to 1,506.72, 2,257.65 and 1,071.75 is: 1,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.72 : 2,257.65 = 1,071.75 : x
  2. Step 2: Convert to fraction form
    1,506.72/2,257.65 = 1,071.75/x
  3. Step 3: Cross multiply
    1,506.72x = 2,257.65 × 1,071.75
  4. Step 4: Simplify right side
    1,506.72x = 2,419,636.39
  5. Step 5: Solve for x
    x = 2,419,636.39/1,506.72
  6. Step 6: Final answer
    x = 1,605.90

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Why These Related Problems?

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