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Finding the Fourth Proportional to 1,552.53, 2,141.82 and 992.01

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Solution

The fourth proportional to 1,552.53, 2,141.82 and 992.01 is: 1,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.53 : 2,141.82 = 992.01 : x
  2. Step 2: Convert to fraction form
    1,552.53/2,141.82 = 992.01/x
  3. Step 3: Cross multiply
    1,552.53x = 2,141.82 × 992.01
  4. Step 4: Simplify right side
    1,552.53x = 2,124,706.86
  5. Step 5: Solve for x
    x = 2,124,706.86/1,552.53
  6. Step 6: Final answer
    x = 1,368.54

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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.