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Finding the Fourth Proportional to 1,965.40, 2,948.04 and 810.32

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Solution

The fourth proportional to 1,965.40, 2,948.04 and 810.32 is: 1,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.40 : 2,948.04 = 810.32 : x
  2. Step 2: Convert to fraction form
    1,965.40/2,948.04 = 810.32/x
  3. Step 3: Cross multiply
    1,965.40x = 2,948.04 × 810.32
  4. Step 4: Simplify right side
    1,965.40x = 2,388,855.77
  5. Step 5: Solve for x
    x = 2,388,855.77/1,965.40
  6. Step 6: Final answer
    x = 1,215.46

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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.