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Finding the Fourth Proportional to 2,341.46, 3,511.20 and 953.85

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Solution

The fourth proportional to 2,341.46, 3,511.20 and 953.85 is: 1,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.46 : 3,511.20 = 953.85 : x
  2. Step 2: Convert to fraction form
    2,341.46/3,511.20 = 953.85/x
  3. Step 3: Cross multiply
    2,341.46x = 3,511.20 × 953.85
  4. Step 4: Simplify right side
    2,341.46x = 3,349,158.12
  5. Step 5: Solve for x
    x = 3,349,158.12/2,341.46
  6. Step 6: Final answer
    x = 1,430.37

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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.