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Finding the Fourth Proportional to 1,946.84, 2,686.99 and 1,160.94

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Solution

The fourth proportional to 1,946.84, 2,686.99 and 1,160.94 is: 1,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.84 : 2,686.99 = 1,160.94 : x
  2. Step 2: Convert to fraction form
    1,946.84/2,686.99 = 1,160.94/x
  3. Step 3: Cross multiply
    1,946.84x = 2,686.99 × 1,160.94
  4. Step 4: Simplify right side
    1,946.84x = 3,119,434.17
  5. Step 5: Solve for x
    x = 3,119,434.17/1,946.84
  6. Step 6: Final answer
    x = 1,602.31

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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.