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Finding the Fourth Proportional to 2,585.60, 3,880.38 and 1,894.08

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Solution

The fourth proportional to 2,585.60, 3,880.38 and 1,894.08 is: 2,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.60 : 3,880.38 = 1,894.08 : x
  2. Step 2: Convert to fraction form
    2,585.60/3,880.38 = 1,894.08/x
  3. Step 3: Cross multiply
    2,585.60x = 3,880.38 × 1,894.08
  4. Step 4: Simplify right side
    2,585.60x = 7,349,750.15
  5. Step 5: Solve for x
    x = 7,349,750.15/2,585.60
  6. Step 6: Final answer
    x = 2,842.57

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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.