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Finding the Fourth Proportional to 1,531.94, 2,114.48 and 1,059.30

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Solution

The fourth proportional to 1,531.94, 2,114.48 and 1,059.30 is: 1,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.94 : 2,114.48 = 1,059.30 : x
  2. Step 2: Convert to fraction form
    1,531.94/2,114.48 = 1,059.30/x
  3. Step 3: Cross multiply
    1,531.94x = 2,114.48 × 1,059.30
  4. Step 4: Simplify right side
    1,531.94x = 2,239,863.37
  5. Step 5: Solve for x
    x = 2,239,863.37/1,531.94
  6. Step 6: Final answer
    x = 1,462.11

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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.