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Finding the Fourth Proportional to 1,741.16, 2,611.72 and 875.28

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Solution

The fourth proportional to 1,741.16, 2,611.72 and 875.28 is: 1,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.16 : 2,611.72 = 875.28 : x
  2. Step 2: Convert to fraction form
    1,741.16/2,611.72 = 875.28/x
  3. Step 3: Cross multiply
    1,741.16x = 2,611.72 × 875.28
  4. Step 4: Simplify right side
    1,741.16x = 2,285,986.28
  5. Step 5: Solve for x
    x = 2,285,986.28/1,741.16
  6. Step 6: Final answer
    x = 1,312.91

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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.