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Finding the Fourth Proportional to 1,966.64, 2,713.76 and 1,500.08

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Solution

The fourth proportional to 1,966.64, 2,713.76 and 1,500.08 is: 2,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.64 : 2,713.76 = 1,500.08 : x
  2. Step 2: Convert to fraction form
    1,966.64/2,713.76 = 1,500.08/x
  3. Step 3: Cross multiply
    1,966.64x = 2,713.76 × 1,500.08
  4. Step 4: Simplify right side
    1,966.64x = 4,070,857.10
  5. Step 5: Solve for x
    x = 4,070,857.10/1,966.64
  6. Step 6: Final answer
    x = 2,069.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.