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Finding the Fourth Proportional to 2,544.84, 3,512.34 and 1,482.78

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Solution

The fourth proportional to 2,544.84, 3,512.34 and 1,482.78 is: 2,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.84 : 3,512.34 = 1,482.78 : x
  2. Step 2: Convert to fraction form
    2,544.84/3,512.34 = 1,482.78/x
  3. Step 3: Cross multiply
    2,544.84x = 3,512.34 × 1,482.78
  4. Step 4: Simplify right side
    2,544.84x = 5,208,027.51
  5. Step 5: Solve for x
    x = 5,208,027.51/2,544.84
  6. Step 6: Final answer
    x = 2,046.50

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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.