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Finding the Fourth Proportional to 2,004.76, 3,005.04 and 705.28

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Solution

The fourth proportional to 2,004.76, 3,005.04 and 705.28 is: 1,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.76 : 3,005.04 = 705.28 : x
  2. Step 2: Convert to fraction form
    2,004.76/3,005.04 = 705.28/x
  3. Step 3: Cross multiply
    2,004.76x = 3,005.04 × 705.28
  4. Step 4: Simplify right side
    2,004.76x = 2,119,394.61
  5. Step 5: Solve for x
    x = 2,119,394.61/2,004.76
  6. Step 6: Final answer
    x = 1,057.18

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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.