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Finding the Fourth Proportional to 1,297.12, 1,947.04 and 1,103.28

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Solution

The fourth proportional to 1,297.12, 1,947.04 and 1,103.28 is: 1,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.12 : 1,947.04 = 1,103.28 : x
  2. Step 2: Convert to fraction form
    1,297.12/1,947.04 = 1,103.28/x
  3. Step 3: Cross multiply
    1,297.12x = 1,947.04 × 1,103.28
  4. Step 4: Simplify right side
    1,297.12x = 2,148,130.29
  5. Step 5: Solve for x
    x = 2,148,130.29/1,297.12
  6. Step 6: Final answer
    x = 1,656.08

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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.