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Finding the Fourth Proportional to 1,869.19, 2,578.01 and 1,160.64

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Solution

The fourth proportional to 1,869.19, 2,578.01 and 1,160.64 is: 1,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.19 : 2,578.01 = 1,160.64 : x
  2. Step 2: Convert to fraction form
    1,869.19/2,578.01 = 1,160.64/x
  3. Step 3: Cross multiply
    1,869.19x = 2,578.01 × 1,160.64
  4. Step 4: Simplify right side
    1,869.19x = 2,992,141.53
  5. Step 5: Solve for x
    x = 2,992,141.53/1,869.19
  6. Step 6: Final answer
    x = 1,600.77

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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.