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Finding the Fourth Proportional to 2,713.10, 3,742.68 and 1,716.68

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Solution

The fourth proportional to 2,713.10, 3,742.68 and 1,716.68 is: 2,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.10 : 3,742.68 = 1,716.68 : x
  2. Step 2: Convert to fraction form
    2,713.10/3,742.68 = 1,716.68/x
  3. Step 3: Cross multiply
    2,713.10x = 3,742.68 × 1,716.68
  4. Step 4: Simplify right side
    2,713.10x = 6,424,983.90
  5. Step 5: Solve for x
    x = 6,424,983.90/2,713.10
  6. Step 6: Final answer
    x = 2,368.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.