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Finding the Fourth Proportional to 1,560.71, 2,153.81 and 852.58

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Solution

The fourth proportional to 1,560.71, 2,153.81 and 852.58 is: 1,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.71 : 2,153.81 = 852.58 : x
  2. Step 2: Convert to fraction form
    1,560.71/2,153.81 = 852.58/x
  3. Step 3: Cross multiply
    1,560.71x = 2,153.81 × 852.58
  4. Step 4: Simplify right side
    1,560.71x = 1,836,295.33
  5. Step 5: Solve for x
    x = 1,836,295.33/1,560.71
  6. Step 6: Final answer
    x = 1,176.58

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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.