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Finding the Fourth Proportional to 2,844.54, 3,925.35 and 1,585.62

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Solution

The fourth proportional to 2,844.54, 3,925.35 and 1,585.62 is: 2,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.54 : 3,925.35 = 1,585.62 : x
  2. Step 2: Convert to fraction form
    2,844.54/3,925.35 = 1,585.62/x
  3. Step 3: Cross multiply
    2,844.54x = 3,925.35 × 1,585.62
  4. Step 4: Simplify right side
    2,844.54x = 6,224,113.47
  5. Step 5: Solve for x
    x = 6,224,113.47/2,844.54
  6. Step 6: Final answer
    x = 2,188.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.