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Finding the Fourth Proportional to 1,407.09, 1,943.50 and 1,054.58

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Solution

The fourth proportional to 1,407.09, 1,943.50 and 1,054.58 is: 1,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.09 : 1,943.50 = 1,054.58 : x
  2. Step 2: Convert to fraction form
    1,407.09/1,943.50 = 1,054.58/x
  3. Step 3: Cross multiply
    1,407.09x = 1,943.50 × 1,054.58
  4. Step 4: Simplify right side
    1,407.09x = 2,049,576.23
  5. Step 5: Solve for x
    x = 2,049,576.23/1,407.09
  6. Step 6: Final answer
    x = 1,456.61

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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.