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Finding the Fourth Proportional to 2,700.64, 4,051.08 and 1,315.12

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Solution

The fourth proportional to 2,700.64, 4,051.08 and 1,315.12 is: 1,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.64 : 4,051.08 = 1,315.12 : x
  2. Step 2: Convert to fraction form
    2,700.64/4,051.08 = 1,315.12/x
  3. Step 3: Cross multiply
    2,700.64x = 4,051.08 × 1,315.12
  4. Step 4: Simplify right side
    2,700.64x = 5,327,656.33
  5. Step 5: Solve for x
    x = 5,327,656.33/2,700.64
  6. Step 6: Final answer
    x = 1,972.74

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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.