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Finding the Fourth Proportional to 1,830.75, 2,746.14 and 1,464.63

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Solution

The fourth proportional to 1,830.75, 2,746.14 and 1,464.63 is: 2,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.75 : 2,746.14 = 1,464.63 : x
  2. Step 2: Convert to fraction form
    1,830.75/2,746.14 = 1,464.63/x
  3. Step 3: Cross multiply
    1,830.75x = 2,746.14 × 1,464.63
  4. Step 4: Simplify right side
    1,830.75x = 4,022,079.03
  5. Step 5: Solve for x
    x = 4,022,079.03/1,830.75
  6. Step 6: Final answer
    x = 2,196.96

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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.