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Finding the Fourth Proportional to 1,312.25, 1,809.45 and 1,112.31

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Solution

The fourth proportional to 1,312.25, 1,809.45 and 1,112.31 is: 1,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.25 : 1,809.45 = 1,112.31 : x
  2. Step 2: Convert to fraction form
    1,312.25/1,809.45 = 1,112.31/x
  3. Step 3: Cross multiply
    1,312.25x = 1,809.45 × 1,112.31
  4. Step 4: Simplify right side
    1,312.25x = 2,012,669.33
  5. Step 5: Solve for x
    x = 2,012,669.33/1,312.25
  6. Step 6: Final answer
    x = 1,533.76

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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.