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Finding the Fourth Proportional to 2,811.90, 4,217.04 and 837.45

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Solution

The fourth proportional to 2,811.90, 4,217.04 and 837.45 is: 1,255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.90 : 4,217.04 = 837.45 : x
  2. Step 2: Convert to fraction form
    2,811.90/4,217.04 = 837.45/x
  3. Step 3: Cross multiply
    2,811.90x = 4,217.04 × 837.45
  4. Step 4: Simplify right side
    2,811.90x = 3,531,547.47
  5. Step 5: Solve for x
    x = 3,531,547.47/2,811.90
  6. Step 6: Final answer
    x = 1,255.93

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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.