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Finding the Fourth Proportional to 2,671.44, 3,686.68 and 1,492.64

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Solution

The fourth proportional to 2,671.44, 3,686.68 and 1,492.64 is: 2,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.44 : 3,686.68 = 1,492.64 : x
  2. Step 2: Convert to fraction form
    2,671.44/3,686.68 = 1,492.64/x
  3. Step 3: Cross multiply
    2,671.44x = 3,686.68 × 1,492.64
  4. Step 4: Simplify right side
    2,671.44x = 5,502,886.04
  5. Step 5: Solve for x
    x = 5,502,886.04/2,671.44
  6. Step 6: Final answer
    x = 2,059.90

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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.