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Finding the Fourth Proportional to 3,314.04, 4,970.52 and 1,005

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Solution

The fourth proportional to 3,314.04, 4,970.52 and 1,005 is: 1,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.04 : 4,970.52 = 1,005 : x
  2. Step 2: Convert to fraction form
    3,314.04/4,970.52 = 1,005/x
  3. Step 3: Cross multiply
    3,314.04x = 4,970.52 × 1,005
  4. Step 4: Simplify right side
    3,314.04x = 4,995,372.60
  5. Step 5: Solve for x
    x = 4,995,372.60/3,314.04
  6. Step 6: Final answer
    x = 1,507.34

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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.