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Finding the Fourth Proportional to 2,523.63, 3,482.61 and 1,419.63

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Solution

The fourth proportional to 2,523.63, 3,482.61 and 1,419.63 is: 1,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.63 : 3,482.61 = 1,419.63 : x
  2. Step 2: Convert to fraction form
    2,523.63/3,482.61 = 1,419.63/x
  3. Step 3: Cross multiply
    2,523.63x = 3,482.61 × 1,419.63
  4. Step 4: Simplify right side
    2,523.63x = 4,944,017.63
  5. Step 5: Solve for x
    x = 4,944,017.63/2,523.63
  6. Step 6: Final answer
    x = 1,959.09

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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.