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Finding the Fourth Proportional to 1,851.93, 2,555.67 and 1,012.64

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Solution

The fourth proportional to 1,851.93, 2,555.67 and 1,012.64 is: 1,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.93 : 2,555.67 = 1,012.64 : x
  2. Step 2: Convert to fraction form
    1,851.93/2,555.67 = 1,012.64/x
  3. Step 3: Cross multiply
    1,851.93x = 2,555.67 × 1,012.64
  4. Step 4: Simplify right side
    1,851.93x = 2,587,976.26
  5. Step 5: Solve for x
    x = 2,587,976.26/1,851.93
  6. Step 6: Final answer
    x = 1,397.45

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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.