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Finding the Fourth Proportional to 1,643.13, 2,460.65 and 1,274.85

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Solution

The fourth proportional to 1,643.13, 2,460.65 and 1,274.85 is: 1,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.13 : 2,460.65 = 1,274.85 : x
  2. Step 2: Convert to fraction form
    1,643.13/2,460.65 = 1,274.85/x
  3. Step 3: Cross multiply
    1,643.13x = 2,460.65 × 1,274.85
  4. Step 4: Simplify right side
    1,643.13x = 3,136,953.28
  5. Step 5: Solve for x
    x = 3,136,953.28/1,643.13
  6. Step 6: Final answer
    x = 1,909.13

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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.