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Finding the Fourth Proportional to 2,495.82, 3,743.73 and 957.18

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Solution

The fourth proportional to 2,495.82, 3,743.73 and 957.18 is: 1,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.82 : 3,743.73 = 957.18 : x
  2. Step 2: Convert to fraction form
    2,495.82/3,743.73 = 957.18/x
  3. Step 3: Cross multiply
    2,495.82x = 3,743.73 × 957.18
  4. Step 4: Simplify right side
    2,495.82x = 3,583,423.48
  5. Step 5: Solve for x
    x = 3,583,423.48/2,495.82
  6. Step 6: Final answer
    x = 1,435.77

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1.5x scale

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.