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Finding the Fourth Proportional to 1,574.80, 2,173.67 and 1,262.24

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Solution

The fourth proportional to 1,574.80, 2,173.67 and 1,262.24 is: 1,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.80 : 2,173.67 = 1,262.24 : x
  2. Step 2: Convert to fraction form
    1,574.80/2,173.67 = 1,262.24/x
  3. Step 3: Cross multiply
    1,574.80x = 2,173.67 × 1,262.24
  4. Step 4: Simplify right side
    1,574.80x = 2,743,693.22
  5. Step 5: Solve for x
    x = 2,743,693.22/1,574.80
  6. Step 6: Final answer
    x = 1,742.25

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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.