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Finding the Fourth Proportional to 2,582.00, 3,875.06 and 939.02

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Solution

The fourth proportional to 2,582.00, 3,875.06 and 939.02 is: 1,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.00 : 3,875.06 = 939.02 : x
  2. Step 2: Convert to fraction form
    2,582.00/3,875.06 = 939.02/x
  3. Step 3: Cross multiply
    2,582.00x = 3,875.06 × 939.02
  4. Step 4: Simplify right side
    2,582.00x = 3,638,734.77
  5. Step 5: Solve for x
    x = 3,638,734.77/2,582.00
  6. Step 6: Final answer
    x = 1,409.27

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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.