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Finding the Fourth Proportional to 2,328.90, 3,210.84 and 1,690.27

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Solution

The fourth proportional to 2,328.90, 3,210.84 and 1,690.27 is: 2,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.90 : 3,210.84 = 1,690.27 : x
  2. Step 2: Convert to fraction form
    2,328.90/3,210.84 = 1,690.27/x
  3. Step 3: Cross multiply
    2,328.90x = 3,210.84 × 1,690.27
  4. Step 4: Simplify right side
    2,328.90x = 5,427,178.50
  5. Step 5: Solve for x
    x = 5,427,178.50/2,328.90
  6. Step 6: Final answer
    x = 2,330.36

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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.