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Finding the Fourth Proportional to 1,966.52, 2,710.64 and 1,492.87

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Solution

The fourth proportional to 1,966.52, 2,710.64 and 1,492.87 is: 2,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.52 : 2,710.64 = 1,492.87 : x
  2. Step 2: Convert to fraction form
    1,966.52/2,710.64 = 1,492.87/x
  3. Step 3: Cross multiply
    1,966.52x = 2,710.64 × 1,492.87
  4. Step 4: Simplify right side
    1,966.52x = 4,046,633.14
  5. Step 5: Solve for x
    x = 4,046,633.14/1,966.52
  6. Step 6: Final answer
    x = 2,057.76

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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.