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Finding the Fourth Proportional to 1,672.64, 2,506.56 and 1,466.72

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Solution

The fourth proportional to 1,672.64, 2,506.56 and 1,466.72 is: 2,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.64 : 2,506.56 = 1,466.72 : x
  2. Step 2: Convert to fraction form
    1,672.64/2,506.56 = 1,466.72/x
  3. Step 3: Cross multiply
    1,672.64x = 2,506.56 × 1,466.72
  4. Step 4: Simplify right side
    1,672.64x = 3,676,421.68
  5. Step 5: Solve for x
    x = 3,676,421.68/1,672.64
  6. Step 6: Final answer
    x = 2,197.98

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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.