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Finding the Fourth Proportional to 2,495.92, 3,743.87 and 646.88

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Solution

The fourth proportional to 2,495.92, 3,743.87 and 646.88 is: 970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.92 : 3,743.87 = 646.88 : x
  2. Step 2: Convert to fraction form
    2,495.92/3,743.87 = 646.88/x
  3. Step 3: Cross multiply
    2,495.92x = 3,743.87 × 646.88
  4. Step 4: Simplify right side
    2,495.92x = 2,421,834.63
  5. Step 5: Solve for x
    x = 2,421,834.63/2,495.92
  6. Step 6: Final answer
    x = 970.32

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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.