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Finding the Fourth Proportional to 1,523.93, 2,100.26 and 1,130.27

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Solution

The fourth proportional to 1,523.93, 2,100.26 and 1,130.27 is: 1,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.93 : 2,100.26 = 1,130.27 : x
  2. Step 2: Convert to fraction form
    1,523.93/2,100.26 = 1,130.27/x
  3. Step 3: Cross multiply
    1,523.93x = 2,100.26 × 1,130.27
  4. Step 4: Simplify right side
    1,523.93x = 2,373,844.72
  5. Step 5: Solve for x
    x = 2,373,844.72/1,523.93
  6. Step 6: Final answer
    x = 1,557.72

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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.