Home / 2,045.32-2,823-1,161.40

Finding the Fourth Proportional to 2,045.32, 2,823 and 1,161.40

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Solution

The fourth proportional to 2,045.32, 2,823 and 1,161.40 is: 1,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.32 : 2,823 = 1,161.40 : x
  2. Step 2: Convert to fraction form
    2,045.32/2,823 = 1,161.40/x
  3. Step 3: Cross multiply
    2,045.32x = 2,823 × 1,161.40
  4. Step 4: Simplify right side
    2,045.32x = 3,278,632.20
  5. Step 5: Solve for x
    x = 3,278,632.20/2,045.32
  6. Step 6: Final answer
    x = 1,602.99

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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.