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Finding the Fourth Proportional to 1,929.45, 2,893.06 and 1,698.80

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Solution

The fourth proportional to 1,929.45, 2,893.06 and 1,698.80 is: 2,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.45 : 2,893.06 = 1,698.80 : x
  2. Step 2: Convert to fraction form
    1,929.45/2,893.06 = 1,698.80/x
  3. Step 3: Cross multiply
    1,929.45x = 2,893.06 × 1,698.80
  4. Step 4: Simplify right side
    1,929.45x = 4,914,733.31
  5. Step 5: Solve for x
    x = 4,914,733.31/1,929.45
  6. Step 6: Final answer
    x = 2,547.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.