Home / 1,897.16-2,844-1,606.53

Finding the Fourth Proportional to 1,897.16, 2,844 and 1,606.53

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Solution

The fourth proportional to 1,897.16, 2,844 and 1,606.53 is: 2,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.16 : 2,844 = 1,606.53 : x
  2. Step 2: Convert to fraction form
    1,897.16/2,844 = 1,606.53/x
  3. Step 3: Cross multiply
    1,897.16x = 2,844 × 1,606.53
  4. Step 4: Simplify right side
    1,897.16x = 4,568,971.32
  5. Step 5: Solve for x
    x = 4,568,971.32/1,897.16
  6. Step 6: Final answer
    x = 2,408.32

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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.