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Finding the Fourth Proportional to 2,385.98, 3,574.73 and 2,035.77

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Solution

The fourth proportional to 2,385.98, 3,574.73 and 2,035.77 is: 3,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.98 : 3,574.73 = 2,035.77 : x
  2. Step 2: Convert to fraction form
    2,385.98/3,574.73 = 2,035.77/x
  3. Step 3: Cross multiply
    2,385.98x = 3,574.73 × 2,035.77
  4. Step 4: Simplify right side
    2,385.98x = 7,277,328.09
  5. Step 5: Solve for x
    x = 7,277,328.09/2,385.98
  6. Step 6: Final answer
    x = 3,050.04

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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.