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Finding the Fourth Proportional to 2,104.02, 2,903.99 and 1,316.70

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Solution

The fourth proportional to 2,104.02, 2,903.99 and 1,316.70 is: 1,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.02 : 2,903.99 = 1,316.70 : x
  2. Step 2: Convert to fraction form
    2,104.02/2,903.99 = 1,316.70/x
  3. Step 3: Cross multiply
    2,104.02x = 2,903.99 × 1,316.70
  4. Step 4: Simplify right side
    2,104.02x = 3,823,677.05
  5. Step 5: Solve for x
    x = 3,823,677.05/2,104.02
  6. Step 6: Final answer
    x = 1,817.32

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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.