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Finding the Fourth Proportional to 1,314, 1,965.88 and 1,207.12

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Solution

The fourth proportional to 1,314, 1,965.88 and 1,207.12 is: 1,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314 : 1,965.88 = 1,207.12 : x
  2. Step 2: Convert to fraction form
    1,314/1,965.88 = 1,207.12/x
  3. Step 3: Cross multiply
    1,314x = 1,965.88 × 1,207.12
  4. Step 4: Simplify right side
    1,314x = 2,373,053.07
  5. Step 5: Solve for x
    x = 2,373,053.07/1,314
  6. Step 6: Final answer
    x = 1,805.98

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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.