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Finding the Fourth Proportional to 2,957.01, 4,435.59 and 1,107.77

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Solution

The fourth proportional to 2,957.01, 4,435.59 and 1,107.77 is: 1,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.01 : 4,435.59 = 1,107.77 : x
  2. Step 2: Convert to fraction form
    2,957.01/4,435.59 = 1,107.77/x
  3. Step 3: Cross multiply
    2,957.01x = 4,435.59 × 1,107.77
  4. Step 4: Simplify right side
    2,957.01x = 4,913,613.53
  5. Step 5: Solve for x
    x = 4,913,613.53/2,957.01
  6. Step 6: Final answer
    x = 1,661.68

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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.