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Finding the Fourth Proportional to 1,574.60, 2,175.95 and 1,180.94

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Solution

The fourth proportional to 1,574.60, 2,175.95 and 1,180.94 is: 1,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.60 : 2,175.95 = 1,180.94 : x
  2. Step 2: Convert to fraction form
    1,574.60/2,175.95 = 1,180.94/x
  3. Step 3: Cross multiply
    1,574.60x = 2,175.95 × 1,180.94
  4. Step 4: Simplify right side
    1,574.60x = 2,569,660.49
  5. Step 5: Solve for x
    x = 2,569,660.49/1,574.60
  6. Step 6: Final answer
    x = 1,631.94

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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.