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Finding the Fourth Proportional to 2,153.98, 2,972.98 and 1,482.68

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Solution

The fourth proportional to 2,153.98, 2,972.98 and 1,482.68 is: 2,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.98 : 2,972.98 = 1,482.68 : x
  2. Step 2: Convert to fraction form
    2,153.98/2,972.98 = 1,482.68/x
  3. Step 3: Cross multiply
    2,153.98x = 2,972.98 × 1,482.68
  4. Step 4: Simplify right side
    2,153.98x = 4,407,977.99
  5. Step 5: Solve for x
    x = 4,407,977.99/2,153.98
  6. Step 6: Final answer
    x = 2,046.43

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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.