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Finding the Fourth Proportional to 2,415.12, 3,622.90 and 875.76

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Solution

The fourth proportional to 2,415.12, 3,622.90 and 875.76 is: 1,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.12 : 3,622.90 = 875.76 : x
  2. Step 2: Convert to fraction form
    2,415.12/3,622.90 = 875.76/x
  3. Step 3: Cross multiply
    2,415.12x = 3,622.90 × 875.76
  4. Step 4: Simplify right side
    2,415.12x = 3,172,790.90
  5. Step 5: Solve for x
    x = 3,172,790.90/2,415.12
  6. Step 6: Final answer
    x = 1,313.72

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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.