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Finding the Fourth Proportional to 2,325.90, 3,210.03 and 1,382.16

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Solution

The fourth proportional to 2,325.90, 3,210.03 and 1,382.16 is: 1,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.90 : 3,210.03 = 1,382.16 : x
  2. Step 2: Convert to fraction form
    2,325.90/3,210.03 = 1,382.16/x
  3. Step 3: Cross multiply
    2,325.90x = 3,210.03 × 1,382.16
  4. Step 4: Simplify right side
    2,325.90x = 4,436,775.06
  5. Step 5: Solve for x
    x = 4,436,775.06/2,325.90
  6. Step 6: Final answer
    x = 1,907.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.