Home / 1,926.32-2,884.10-1,045.66

Finding the Fourth Proportional to 1,926.32, 2,884.10 and 1,045.66

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Solution

The fourth proportional to 1,926.32, 2,884.10 and 1,045.66 is: 1,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.32 : 2,884.10 = 1,045.66 : x
  2. Step 2: Convert to fraction form
    1,926.32/2,884.10 = 1,045.66/x
  3. Step 3: Cross multiply
    1,926.32x = 2,884.10 × 1,045.66
  4. Step 4: Simplify right side
    1,926.32x = 3,015,788.01
  5. Step 5: Solve for x
    x = 3,015,788.01/1,926.32
  6. Step 6: Final answer
    x = 1,565.57

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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.