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Finding the Fourth Proportional to 2,957.76, 4,433.00 and 1,640.40

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Solution

The fourth proportional to 2,957.76, 4,433.00 and 1,640.40 is: 2,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.76 : 4,433.00 = 1,640.40 : x
  2. Step 2: Convert to fraction form
    2,957.76/4,433.00 = 1,640.40/x
  3. Step 3: Cross multiply
    2,957.76x = 4,433.00 × 1,640.40
  4. Step 4: Simplify right side
    2,957.76x = 7,271,885.00
  5. Step 5: Solve for x
    x = 7,271,885.00/2,957.76
  6. Step 6: Final answer
    x = 2,458.58

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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.