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Finding the Fourth Proportional to 1,482.80, 2,046.27 and 893.45

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Solution

The fourth proportional to 1,482.80, 2,046.27 and 893.45 is: 1,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.80 : 2,046.27 = 893.45 : x
  2. Step 2: Convert to fraction form
    1,482.80/2,046.27 = 893.45/x
  3. Step 3: Cross multiply
    1,482.80x = 2,046.27 × 893.45
  4. Step 4: Simplify right side
    1,482.80x = 1,828,243.37
  5. Step 5: Solve for x
    x = 1,828,243.37/1,482.80
  6. Step 6: Final answer
    x = 1,232.96

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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.