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Finding the Fourth Proportional to 1,965.60, 2,946.24 and 810

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Solution

The fourth proportional to 1,965.60, 2,946.24 and 810 is: 1,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.60 : 2,946.24 = 810 : x
  2. Step 2: Convert to fraction form
    1,965.60/2,946.24 = 810/x
  3. Step 3: Cross multiply
    1,965.60x = 2,946.24 × 810
  4. Step 4: Simplify right side
    1,965.60x = 2,386,454.40
  5. Step 5: Solve for x
    x = 2,386,454.40/1,965.60
  6. Step 6: Final answer
    x = 1,214.11

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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.