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Finding the Fourth Proportional to 2,877.48, 3,970.34 and 1,698.68

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Solution

The fourth proportional to 2,877.48, 3,970.34 and 1,698.68 is: 2,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.48 : 3,970.34 = 1,698.68 : x
  2. Step 2: Convert to fraction form
    2,877.48/3,970.34 = 1,698.68/x
  3. Step 3: Cross multiply
    2,877.48x = 3,970.34 × 1,698.68
  4. Step 4: Simplify right side
    2,877.48x = 6,744,337.15
  5. Step 5: Solve for x
    x = 6,744,337.15/2,877.48
  6. Step 6: Final answer
    x = 2,343.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.