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Finding the Fourth Proportional to 1,342.67, 1,852.58 and 945.51

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Solution

The fourth proportional to 1,342.67, 1,852.58 and 945.51 is: 1,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.67 : 1,852.58 = 945.51 : x
  2. Step 2: Convert to fraction form
    1,342.67/1,852.58 = 945.51/x
  3. Step 3: Cross multiply
    1,342.67x = 1,852.58 × 945.51
  4. Step 4: Simplify right side
    1,342.67x = 1,751,628.19
  5. Step 5: Solve for x
    x = 1,751,628.19/1,342.67
  6. Step 6: Final answer
    x = 1,304.59

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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.