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Finding the Fourth Proportional to 2,389.18, 3,582.02 and 1,607.23

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Solution

The fourth proportional to 2,389.18, 3,582.02 and 1,607.23 is: 2,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.18 : 3,582.02 = 1,607.23 : x
  2. Step 2: Convert to fraction form
    2,389.18/3,582.02 = 1,607.23/x
  3. Step 3: Cross multiply
    2,389.18x = 3,582.02 × 1,607.23
  4. Step 4: Simplify right side
    2,389.18x = 5,757,130.92
  5. Step 5: Solve for x
    x = 5,757,130.92/2,389.18
  6. Step 6: Final answer
    x = 2,409.67

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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.