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Finding the Fourth Proportional to 1,573.44, 2,174.16 and 1,130.57

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Solution

The fourth proportional to 1,573.44, 2,174.16 and 1,130.57 is: 1,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.44 : 2,174.16 = 1,130.57 : x
  2. Step 2: Convert to fraction form
    1,573.44/2,174.16 = 1,130.57/x
  3. Step 3: Cross multiply
    1,573.44x = 2,174.16 × 1,130.57
  4. Step 4: Simplify right side
    1,573.44x = 2,458,040.07
  5. Step 5: Solve for x
    x = 2,458,040.07/1,573.44
  6. Step 6: Final answer
    x = 1,562.21

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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.