Home / 1,645.16-2,270.28-899.12

Finding the Fourth Proportional to 1,645.16, 2,270.28 and 899.12

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Solution

The fourth proportional to 1,645.16, 2,270.28 and 899.12 is: 1,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.16 : 2,270.28 = 899.12 : x
  2. Step 2: Convert to fraction form
    1,645.16/2,270.28 = 899.12/x
  3. Step 3: Cross multiply
    1,645.16x = 2,270.28 × 899.12
  4. Step 4: Simplify right side
    1,645.16x = 2,041,242.80
  5. Step 5: Solve for x
    x = 2,041,242.80/1,645.16
  6. Step 6: Final answer
    x = 1,240.76

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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.