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Finding the Fourth Proportional to 2,585.77, 3,875.73 and 2,125.60

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Solution

The fourth proportional to 2,585.77, 3,875.73 and 2,125.60 is: 3,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.77 : 3,875.73 = 2,125.60 : x
  2. Step 2: Convert to fraction form
    2,585.77/3,875.73 = 2,125.60/x
  3. Step 3: Cross multiply
    2,585.77x = 3,875.73 × 2,125.60
  4. Step 4: Simplify right side
    2,585.77x = 8,238,251.69
  5. Step 5: Solve for x
    x = 8,238,251.69/2,585.77
  6. Step 6: Final answer
    x = 3,186.00

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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.