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Finding the Fourth Proportional to 2,877.54, 3,970.50 and 1,698.98

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Solution

The fourth proportional to 2,877.54, 3,970.50 and 1,698.98 is: 2,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.54 : 3,970.50 = 1,698.98 : x
  2. Step 2: Convert to fraction form
    2,877.54/3,970.50 = 1,698.98/x
  3. Step 3: Cross multiply
    2,877.54x = 3,970.50 × 1,698.98
  4. Step 4: Simplify right side
    2,877.54x = 6,745,800.09
  5. Step 5: Solve for x
    x = 6,745,800.09/2,877.54
  6. Step 6: Final answer
    x = 2,344.29

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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.