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Finding the Fourth Proportional to 1,811.64, 2,496.72 and 1,479

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Solution

The fourth proportional to 1,811.64, 2,496.72 and 1,479 is: 2,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.64 : 2,496.72 = 1,479 : x
  2. Step 2: Convert to fraction form
    1,811.64/2,496.72 = 1,479/x
  3. Step 3: Cross multiply
    1,811.64x = 2,496.72 × 1,479
  4. Step 4: Simplify right side
    1,811.64x = 3,692,648.88
  5. Step 5: Solve for x
    x = 3,692,648.88/1,811.64
  6. Step 6: Final answer
    x = 2,038.29

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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.