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Finding the Fourth Proportional to 2,957.65, 4,433.74 and 1,008.50

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Solution

The fourth proportional to 2,957.65, 4,433.74 and 1,008.50 is: 1,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.65 : 4,433.74 = 1,008.50 : x
  2. Step 2: Convert to fraction form
    2,957.65/4,433.74 = 1,008.50/x
  3. Step 3: Cross multiply
    2,957.65x = 4,433.74 × 1,008.50
  4. Step 4: Simplify right side
    2,957.65x = 4,471,402.10
  5. Step 5: Solve for x
    x = 4,471,402.10/2,957.65
  6. Step 6: Final answer
    x = 1,511.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.