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Finding the Fourth Proportional to 1,929.84, 2,649.22 and 1,881.52

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Solution

The fourth proportional to 1,929.84, 2,649.22 and 1,881.52 is: 2,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.84 : 2,649.22 = 1,881.52 : x
  2. Step 2: Convert to fraction form
    1,929.84/2,649.22 = 1,881.52/x
  3. Step 3: Cross multiply
    1,929.84x = 2,649.22 × 1,881.52
  4. Step 4: Simplify right side
    1,929.84x = 4,984,560.41
  5. Step 5: Solve for x
    x = 4,984,560.41/1,929.84
  6. Step 6: Final answer
    x = 2,582.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.