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Finding the Fourth Proportional to 1,968.74, 2,929.87 and 1,903.12

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Solution

The fourth proportional to 1,968.74, 2,929.87 and 1,903.12 is: 2,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.74 : 2,929.87 = 1,903.12 : x
  2. Step 2: Convert to fraction form
    1,968.74/2,929.87 = 1,903.12/x
  3. Step 3: Cross multiply
    1,968.74x = 2,929.87 × 1,903.12
  4. Step 4: Simplify right side
    1,968.74x = 5,575,894.19
  5. Step 5: Solve for x
    x = 5,575,894.19/1,968.74
  6. Step 6: Final answer
    x = 2,832.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.