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Finding the Fourth Proportional to 1,573.83, 2,359.98 and 949.77

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Solution

The fourth proportional to 1,573.83, 2,359.98 and 949.77 is: 1,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.83 : 2,359.98 = 949.77 : x
  2. Step 2: Convert to fraction form
    1,573.83/2,359.98 = 949.77/x
  3. Step 3: Cross multiply
    1,573.83x = 2,359.98 × 949.77
  4. Step 4: Simplify right side
    1,573.83x = 2,241,438.20
  5. Step 5: Solve for x
    x = 2,241,438.20/1,573.83
  6. Step 6: Final answer
    x = 1,424.19

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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.