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Finding the Fourth Proportional to 1,801.20, 2,482.74 and 1,303.86

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Solution

The fourth proportional to 1,801.20, 2,482.74 and 1,303.86 is: 1,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.20 : 2,482.74 = 1,303.86 : x
  2. Step 2: Convert to fraction form
    1,801.20/2,482.74 = 1,303.86/x
  3. Step 3: Cross multiply
    1,801.20x = 2,482.74 × 1,303.86
  4. Step 4: Simplify right side
    1,801.20x = 3,237,145.38
  5. Step 5: Solve for x
    x = 3,237,145.38/1,801.20
  6. Step 6: Final answer
    x = 1,797.22

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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.