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Finding the Fourth Proportional to 2,047.30, 2,823.04 and 1,383

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Solution

The fourth proportional to 2,047.30, 2,823.04 and 1,383 is: 1,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.30 : 2,823.04 = 1,383 : x
  2. Step 2: Convert to fraction form
    2,047.30/2,823.04 = 1,383/x
  3. Step 3: Cross multiply
    2,047.30x = 2,823.04 × 1,383
  4. Step 4: Simplify right side
    2,047.30x = 3,904,264.32
  5. Step 5: Solve for x
    x = 3,904,264.32/2,047.30
  6. Step 6: Final answer
    x = 1,907.03

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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.