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Finding the Fourth Proportional to 1,751.90, 2,412.34 and 1,562.82

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Solution

The fourth proportional to 1,751.90, 2,412.34 and 1,562.82 is: 2,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.90 : 2,412.34 = 1,562.82 : x
  2. Step 2: Convert to fraction form
    1,751.90/2,412.34 = 1,562.82/x
  3. Step 3: Cross multiply
    1,751.90x = 2,412.34 × 1,562.82
  4. Step 4: Simplify right side
    1,751.90x = 3,770,053.20
  5. Step 5: Solve for x
    x = 3,770,053.20/1,751.90
  6. Step 6: Final answer
    x = 2,151.98

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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.