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Finding the Fourth Proportional to 1,900.26, 2,632.50 and 1,854.90

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Solution

The fourth proportional to 1,900.26, 2,632.50 and 1,854.90 is: 2,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.26 : 2,632.50 = 1,854.90 : x
  2. Step 2: Convert to fraction form
    1,900.26/2,632.50 = 1,854.90/x
  3. Step 3: Cross multiply
    1,900.26x = 2,632.50 × 1,854.90
  4. Step 4: Simplify right side
    1,900.26x = 4,883,024.25
  5. Step 5: Solve for x
    x = 4,883,024.25/1,900.26
  6. Step 6: Final answer
    x = 2,569.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.