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Finding the Fourth Proportional to 1,818.14, 2,509.02 and 1,032.23

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Solution

The fourth proportional to 1,818.14, 2,509.02 and 1,032.23 is: 1,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.14 : 2,509.02 = 1,032.23 : x
  2. Step 2: Convert to fraction form
    1,818.14/2,509.02 = 1,032.23/x
  3. Step 3: Cross multiply
    1,818.14x = 2,509.02 × 1,032.23
  4. Step 4: Simplify right side
    1,818.14x = 2,589,873.17
  5. Step 5: Solve for x
    x = 2,589,873.17/1,818.14
  6. Step 6: Final answer
    x = 1,424.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.