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Finding the Fourth Proportional to 1,925.87, 2,883.42 and 1,265.72

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Solution

The fourth proportional to 1,925.87, 2,883.42 and 1,265.72 is: 1,895.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.87 : 2,883.42 = 1,265.72 : x
  2. Step 2: Convert to fraction form
    1,925.87/2,883.42 = 1,265.72/x
  3. Step 3: Cross multiply
    1,925.87x = 2,883.42 × 1,265.72
  4. Step 4: Simplify right side
    1,925.87x = 3,649,587.95
  5. Step 5: Solve for x
    x = 3,649,587.95/1,925.87
  6. Step 6: Final answer
    x = 1,895.04

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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.