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Finding the Fourth Proportional to 1,818.90, 2,509.65 and 1,033.38

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Solution

The fourth proportional to 1,818.90, 2,509.65 and 1,033.38 is: 1,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.90 : 2,509.65 = 1,033.38 : x
  2. Step 2: Convert to fraction form
    1,818.90/2,509.65 = 1,033.38/x
  3. Step 3: Cross multiply
    1,818.90x = 2,509.65 × 1,033.38
  4. Step 4: Simplify right side
    1,818.90x = 2,593,422.12
  5. Step 5: Solve for x
    x = 2,593,422.12/1,818.90
  6. Step 6: Final answer
    x = 1,425.82

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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.