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Finding the Fourth Proportional to 1,381.10, 2,071.84 and 503.49

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Solution

The fourth proportional to 1,381.10, 2,071.84 and 503.49 is: 755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.10 : 2,071.84 = 503.49 : x
  2. Step 2: Convert to fraction form
    1,381.10/2,071.84 = 503.49/x
  3. Step 3: Cross multiply
    1,381.10x = 2,071.84 × 503.49
  4. Step 4: Simplify right side
    1,381.10x = 1,043,142.64
  5. Step 5: Solve for x
    x = 1,043,142.64/1,381.10
  6. Step 6: Final answer
    x = 755.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.