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Finding the Fourth Proportional to 1,509.54, 2,272.66 and 1,182.23

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Solution

The fourth proportional to 1,509.54, 2,272.66 and 1,182.23 is: 1,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.54 : 2,272.66 = 1,182.23 : x
  2. Step 2: Convert to fraction form
    1,509.54/2,272.66 = 1,182.23/x
  3. Step 3: Cross multiply
    1,509.54x = 2,272.66 × 1,182.23
  4. Step 4: Simplify right side
    1,509.54x = 2,686,806.83
  5. Step 5: Solve for x
    x = 2,686,806.83/1,509.54
  6. Step 6: Final answer
    x = 1,779.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.