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Finding the Fourth Proportional to 2,038.60, 2,808.23 and 1,738.87

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Solution

The fourth proportional to 2,038.60, 2,808.23 and 1,738.87 is: 2,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.60 : 2,808.23 = 1,738.87 : x
  2. Step 2: Convert to fraction form
    2,038.60/2,808.23 = 1,738.87/x
  3. Step 3: Cross multiply
    2,038.60x = 2,808.23 × 1,738.87
  4. Step 4: Simplify right side
    2,038.60x = 4,883,146.90
  5. Step 5: Solve for x
    x = 4,883,146.90/2,038.60
  6. Step 6: Final answer
    x = 2,395.34

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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.