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Finding the Fourth Proportional to 2,495.57, 3,742.49 and 740.14

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Solution

The fourth proportional to 2,495.57, 3,742.49 and 740.14 is: 1,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.57 : 3,742.49 = 740.14 : x
  2. Step 2: Convert to fraction form
    2,495.57/3,742.49 = 740.14/x
  3. Step 3: Cross multiply
    2,495.57x = 3,742.49 × 740.14
  4. Step 4: Simplify right side
    2,495.57x = 2,769,959.04
  5. Step 5: Solve for x
    x = 2,769,959.04/2,495.57
  6. Step 6: Final answer
    x = 1,109.95

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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.