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Finding the Fourth Proportional to 1,651.80, 2,478.21 and 556.08

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Solution

The fourth proportional to 1,651.80, 2,478.21 and 556.08 is: 834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.80 : 2,478.21 = 556.08 : x
  2. Step 2: Convert to fraction form
    1,651.80/2,478.21 = 556.08/x
  3. Step 3: Cross multiply
    1,651.80x = 2,478.21 × 556.08
  4. Step 4: Simplify right side
    1,651.80x = 1,378,070.63
  5. Step 5: Solve for x
    x = 1,378,070.63/1,651.80
  6. Step 6: Final answer
    x = 834.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.