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Finding the Fourth Proportional to 1,283.09, 1,913.96 and 1,159.97

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Solution

The fourth proportional to 1,283.09, 1,913.96 and 1,159.97 is: 1,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.09 : 1,913.96 = 1,159.97 : x
  2. Step 2: Convert to fraction form
    1,283.09/1,913.96 = 1,159.97/x
  3. Step 3: Cross multiply
    1,283.09x = 1,913.96 × 1,159.97
  4. Step 4: Simplify right side
    1,283.09x = 2,220,129.51
  5. Step 5: Solve for x
    x = 2,220,129.51/1,283.09
  6. Step 6: Final answer
    x = 1,730.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.