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Finding the Fourth Proportional to 1,803, 2,704.64 and 1,022.70

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Solution

The fourth proportional to 1,803, 2,704.64 and 1,022.70 is: 1,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803 : 2,704.64 = 1,022.70 : x
  2. Step 2: Convert to fraction form
    1,803/2,704.64 = 1,022.70/x
  3. Step 3: Cross multiply
    1,803x = 2,704.64 × 1,022.70
  4. Step 4: Simplify right side
    1,803x = 2,766,030.21
  5. Step 5: Solve for x
    x = 2,766,030.21/1,803
  6. Step 6: Final answer
    x = 1,534.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.