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Finding the Fourth Proportional to 1,433.13, 2,146.03 and 1,312.84

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Solution

The fourth proportional to 1,433.13, 2,146.03 and 1,312.84 is: 1,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.13 : 2,146.03 = 1,312.84 : x
  2. Step 2: Convert to fraction form
    1,433.13/2,146.03 = 1,312.84/x
  3. Step 3: Cross multiply
    1,433.13x = 2,146.03 × 1,312.84
  4. Step 4: Simplify right side
    1,433.13x = 2,817,393.43
  5. Step 5: Solve for x
    x = 2,817,393.43/1,433.13
  6. Step 6: Final answer
    x = 1,965.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.