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Finding the Fourth Proportional to 1,817.89, 2,509.01 and 1,071.80

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Solution

The fourth proportional to 1,817.89, 2,509.01 and 1,071.80 is: 1,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.89 : 2,509.01 = 1,071.80 : x
  2. Step 2: Convert to fraction form
    1,817.89/2,509.01 = 1,071.80/x
  3. Step 3: Cross multiply
    1,817.89x = 2,509.01 × 1,071.80
  4. Step 4: Simplify right side
    1,817.89x = 2,689,156.92
  5. Step 5: Solve for x
    x = 2,689,156.92/1,817.89
  6. Step 6: Final answer
    x = 1,479.27

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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.