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Finding the Fourth Proportional to 1,598.80, 2,394.48 and 1,543.37

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Solution

The fourth proportional to 1,598.80, 2,394.48 and 1,543.37 is: 2,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.80 : 2,394.48 = 1,543.37 : x
  2. Step 2: Convert to fraction form
    1,598.80/2,394.48 = 1,543.37/x
  3. Step 3: Cross multiply
    1,598.80x = 2,394.48 × 1,543.37
  4. Step 4: Simplify right side
    1,598.80x = 3,695,548.91
  5. Step 5: Solve for x
    x = 3,695,548.91/1,598.80
  6. Step 6: Final answer
    x = 2,311.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.