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Finding the Fourth Proportional to 1,886.85, 2,602.02 and 1,466.46

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Solution

The fourth proportional to 1,886.85, 2,602.02 and 1,466.46 is: 2,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.85 : 2,602.02 = 1,466.46 : x
  2. Step 2: Convert to fraction form
    1,886.85/2,602.02 = 1,466.46/x
  3. Step 3: Cross multiply
    1,886.85x = 2,602.02 × 1,466.46
  4. Step 4: Simplify right side
    1,886.85x = 3,815,758.25
  5. Step 5: Solve for x
    x = 3,815,758.25/1,886.85
  6. Step 6: Final answer
    x = 2,022.29

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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.