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Finding the Fourth Proportional to 2,657.03, 3,666.80 and 1,478.21

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Solution

The fourth proportional to 2,657.03, 3,666.80 and 1,478.21 is: 2,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.03 : 3,666.80 = 1,478.21 : x
  2. Step 2: Convert to fraction form
    2,657.03/3,666.80 = 1,478.21/x
  3. Step 3: Cross multiply
    2,657.03x = 3,666.80 × 1,478.21
  4. Step 4: Simplify right side
    2,657.03x = 5,420,300.43
  5. Step 5: Solve for x
    x = 5,420,300.43/2,657.03
  6. Step 6: Final answer
    x = 2,039.98

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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.