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Finding the Fourth Proportional to 1,574.34, 2,174.80 and 1,261.68

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Solution

The fourth proportional to 1,574.34, 2,174.80 and 1,261.68 is: 1,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.34 : 2,174.80 = 1,261.68 : x
  2. Step 2: Convert to fraction form
    1,574.34/2,174.80 = 1,261.68/x
  3. Step 3: Cross multiply
    1,574.34x = 2,174.80 × 1,261.68
  4. Step 4: Simplify right side
    1,574.34x = 2,743,901.66
  5. Step 5: Solve for x
    x = 2,743,901.66/1,574.34
  6. Step 6: Final answer
    x = 1,742.89

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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.