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Finding the Fourth Proportional to 1,364.53, 2,034.82 and 1,352.81

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Solution

The fourth proportional to 1,364.53, 2,034.82 and 1,352.81 is: 2,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.53 : 2,034.82 = 1,352.81 : x
  2. Step 2: Convert to fraction form
    1,364.53/2,034.82 = 1,352.81/x
  3. Step 3: Cross multiply
    1,364.53x = 2,034.82 × 1,352.81
  4. Step 4: Simplify right side
    1,364.53x = 2,752,724.84
  5. Step 5: Solve for x
    x = 2,752,724.84/1,364.53
  6. Step 6: Final answer
    x = 2,017.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.