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Finding the Fourth Proportional to 2,389.46, 3,580.95 and 1,775.48

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Solution

The fourth proportional to 2,389.46, 3,580.95 and 1,775.48 is: 2,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.46 : 3,580.95 = 1,775.48 : x
  2. Step 2: Convert to fraction form
    2,389.46/3,580.95 = 1,775.48/x
  3. Step 3: Cross multiply
    2,389.46x = 3,580.95 × 1,775.48
  4. Step 4: Simplify right side
    2,389.46x = 6,357,905.11
  5. Step 5: Solve for x
    x = 6,357,905.11/2,389.46
  6. Step 6: Final answer
    x = 2,660.81

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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.