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Finding the Fourth Proportional to 1,551.15, 2,140.56 and 852.53

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Solution

The fourth proportional to 1,551.15, 2,140.56 and 852.53 is: 1,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.15 : 2,140.56 = 852.53 : x
  2. Step 2: Convert to fraction form
    1,551.15/2,140.56 = 852.53/x
  3. Step 3: Cross multiply
    1,551.15x = 2,140.56 × 852.53
  4. Step 4: Simplify right side
    1,551.15x = 1,824,880.91
  5. Step 5: Solve for x
    x = 1,824,880.91/1,551.15
  6. Step 6: Final answer
    x = 1,176.47

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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.