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Finding the Fourth Proportional to 1,424.60, 1,964.31 and 1,305.53

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Solution

The fourth proportional to 1,424.60, 1,964.31 and 1,305.53 is: 1,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.60 : 1,964.31 = 1,305.53 : x
  2. Step 2: Convert to fraction form
    1,424.60/1,964.31 = 1,305.53/x
  3. Step 3: Cross multiply
    1,424.60x = 1,964.31 × 1,305.53
  4. Step 4: Simplify right side
    1,424.60x = 2,564,465.63
  5. Step 5: Solve for x
    x = 2,564,465.63/1,424.60
  6. Step 6: Final answer
    x = 1,800.13

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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.