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Finding the Fourth Proportional to 1,482.53, 2,044.90 and 892.45

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Solution

The fourth proportional to 1,482.53, 2,044.90 and 892.45 is: 1,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.53 : 2,044.90 = 892.45 : x
  2. Step 2: Convert to fraction form
    1,482.53/2,044.90 = 892.45/x
  3. Step 3: Cross multiply
    1,482.53x = 2,044.90 × 892.45
  4. Step 4: Simplify right side
    1,482.53x = 1,824,971.01
  5. Step 5: Solve for x
    x = 1,824,971.01/1,482.53
  6. Step 6: Final answer
    x = 1,230.98

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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.