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Finding the Fourth Proportional to 1,551.16, 2,140.59 and 852.55

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Solution

The fourth proportional to 1,551.16, 2,140.59 and 852.55 is: 1,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.16 : 2,140.59 = 852.55 : x
  2. Step 2: Convert to fraction form
    1,551.16/2,140.59 = 852.55/x
  3. Step 3: Cross multiply
    1,551.16x = 2,140.59 × 852.55
  4. Step 4: Simplify right side
    1,551.16x = 1,824,960.00
  5. Step 5: Solve for x
    x = 1,824,960.00/1,551.16
  6. Step 6: Final answer
    x = 1,176.51

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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.