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Finding the Fourth Proportional to 1,592.48, 2,199.60 and 1,541.44

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Solution

The fourth proportional to 1,592.48, 2,199.60 and 1,541.44 is: 2,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.48 : 2,199.60 = 1,541.44 : x
  2. Step 2: Convert to fraction form
    1,592.48/2,199.60 = 1,541.44/x
  3. Step 3: Cross multiply
    1,592.48x = 2,199.60 × 1,541.44
  4. Step 4: Simplify right side
    1,592.48x = 3,390,551.42
  5. Step 5: Solve for x
    x = 3,390,551.42/1,592.48
  6. Step 6: Final answer
    x = 2,129.10

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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.