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Finding the Fourth Proportional to 1,675.74, 2,523.50 and 1,461.90

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Solution

The fourth proportional to 1,675.74, 2,523.50 and 1,461.90 is: 2,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.74 : 2,523.50 = 1,461.90 : x
  2. Step 2: Convert to fraction form
    1,675.74/2,523.50 = 1,461.90/x
  3. Step 3: Cross multiply
    1,675.74x = 2,523.50 × 1,461.90
  4. Step 4: Simplify right side
    1,675.74x = 3,689,097.34
  5. Step 5: Solve for x
    x = 3,689,097.34/1,675.74
  6. Step 6: Final answer
    x = 2,201.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.