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Finding the Fourth Proportional to 2,607.67, 3,910.20 and 875.08

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Solution

The fourth proportional to 2,607.67, 3,910.20 and 875.08 is: 1,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.67 : 3,910.20 = 875.08 : x
  2. Step 2: Convert to fraction form
    2,607.67/3,910.20 = 875.08/x
  3. Step 3: Cross multiply
    2,607.67x = 3,910.20 × 875.08
  4. Step 4: Simplify right side
    2,607.67x = 3,421,737.82
  5. Step 5: Solve for x
    x = 3,421,737.82/2,607.67
  6. Step 6: Final answer
    x = 1,312.18

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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.