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Finding the Fourth Proportional to 1,546.64, 2,308.90 and 1,492.64

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Solution

The fourth proportional to 1,546.64, 2,308.90 and 1,492.64 is: 2,228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.64 : 2,308.90 = 1,492.64 : x
  2. Step 2: Convert to fraction form
    1,546.64/2,308.90 = 1,492.64/x
  3. Step 3: Cross multiply
    1,546.64x = 2,308.90 × 1,492.64
  4. Step 4: Simplify right side
    1,546.64x = 3,446,356.50
  5. Step 5: Solve for x
    x = 3,446,356.50/1,546.64
  6. Step 6: Final answer
    x = 2,228.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.