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Finding the Fourth Proportional to 1,671.12, 2,305.04 and 1,007.28

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Solution

The fourth proportional to 1,671.12, 2,305.04 and 1,007.28 is: 1,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.12 : 2,305.04 = 1,007.28 : x
  2. Step 2: Convert to fraction form
    1,671.12/2,305.04 = 1,007.28/x
  3. Step 3: Cross multiply
    1,671.12x = 2,305.04 × 1,007.28
  4. Step 4: Simplify right side
    1,671.12x = 2,321,820.69
  5. Step 5: Solve for x
    x = 2,321,820.69/1,671.12
  6. Step 6: Final answer
    x = 1,389.38

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1.5x scale

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.