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Finding the Fourth Proportional to 1,798.09, 2,692.25 and 1,562.68

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Solution

The fourth proportional to 1,798.09, 2,692.25 and 1,562.68 is: 2,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.09 : 2,692.25 = 1,562.68 : x
  2. Step 2: Convert to fraction form
    1,798.09/2,692.25 = 1,562.68/x
  3. Step 3: Cross multiply
    1,798.09x = 2,692.25 × 1,562.68
  4. Step 4: Simplify right side
    1,798.09x = 4,207,125.23
  5. Step 5: Solve for x
    x = 4,207,125.23/1,798.09
  6. Step 6: Final answer
    x = 2,339.77

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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.