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Finding the Fourth Proportional to 2,671.64, 3,686.89 and 1,492.57

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Solution

The fourth proportional to 2,671.64, 3,686.89 and 1,492.57 is: 2,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.64 : 3,686.89 = 1,492.57 : x
  2. Step 2: Convert to fraction form
    2,671.64/3,686.89 = 1,492.57/x
  3. Step 3: Cross multiply
    2,671.64x = 3,686.89 × 1,492.57
  4. Step 4: Simplify right side
    2,671.64x = 5,502,928.46
  5. Step 5: Solve for x
    x = 5,502,928.46/2,671.64
  6. Step 6: Final answer
    x = 2,059.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.