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Finding the Fourth Proportional to 1,336.77, 1,842.57 and 1,056.51

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Solution

The fourth proportional to 1,336.77, 1,842.57 and 1,056.51 is: 1,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.77 : 1,842.57 = 1,056.51 : x
  2. Step 2: Convert to fraction form
    1,336.77/1,842.57 = 1,056.51/x
  3. Step 3: Cross multiply
    1,336.77x = 1,842.57 × 1,056.51
  4. Step 4: Simplify right side
    1,336.77x = 1,946,693.63
  5. Step 5: Solve for x
    x = 1,946,693.63/1,336.77
  6. Step 6: Final answer
    x = 1,456.27

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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.