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Finding the Fourth Proportional to 1,878.64, 2,820.40 and 1,446.08

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Solution

The fourth proportional to 1,878.64, 2,820.40 and 1,446.08 is: 2,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.64 : 2,820.40 = 1,446.08 : x
  2. Step 2: Convert to fraction form
    1,878.64/2,820.40 = 1,446.08/x
  3. Step 3: Cross multiply
    1,878.64x = 2,820.40 × 1,446.08
  4. Step 4: Simplify right side
    1,878.64x = 4,078,524.03
  5. Step 5: Solve for x
    x = 4,078,524.03/1,878.64
  6. Step 6: Final answer
    x = 2,171.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.