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Finding the Fourth Proportional to 1,990.58, 2,746.69 and 1,106.38

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Solution

The fourth proportional to 1,990.58, 2,746.69 and 1,106.38 is: 1,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.58 : 2,746.69 = 1,106.38 : x
  2. Step 2: Convert to fraction form
    1,990.58/2,746.69 = 1,106.38/x
  3. Step 3: Cross multiply
    1,990.58x = 2,746.69 × 1,106.38
  4. Step 4: Simplify right side
    1,990.58x = 3,038,882.88
  5. Step 5: Solve for x
    x = 3,038,882.88/1,990.58
  6. Step 6: Final answer
    x = 1,526.63

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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.