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Finding the Fourth Proportional to 2,389.65, 3,298.14 and 1,504.77

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Solution

The fourth proportional to 2,389.65, 3,298.14 and 1,504.77 is: 2,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.65 : 3,298.14 = 1,504.77 : x
  2. Step 2: Convert to fraction form
    2,389.65/3,298.14 = 1,504.77/x
  3. Step 3: Cross multiply
    2,389.65x = 3,298.14 × 1,504.77
  4. Step 4: Simplify right side
    2,389.65x = 4,962,942.13
  5. Step 5: Solve for x
    x = 4,962,942.13/2,389.65
  6. Step 6: Final answer
    x = 2,076.85

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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.