Home / 1,762.43-2,431.08-1,164.93

Finding the Fourth Proportional to 1,762.43, 2,431.08 and 1,164.93

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Solution

The fourth proportional to 1,762.43, 2,431.08 and 1,164.93 is: 1,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.43 : 2,431.08 = 1,164.93 : x
  2. Step 2: Convert to fraction form
    1,762.43/2,431.08 = 1,164.93/x
  3. Step 3: Cross multiply
    1,762.43x = 2,431.08 × 1,164.93
  4. Step 4: Simplify right side
    1,762.43x = 2,832,038.02
  5. Step 5: Solve for x
    x = 2,832,038.02/1,762.43
  6. Step 6: Final answer
    x = 1,606.90

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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.