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Finding the Fourth Proportional to 2,328.35, 3,488.42 and 1,230.30

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Solution

The fourth proportional to 2,328.35, 3,488.42 and 1,230.30 is: 1,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.35 : 3,488.42 = 1,230.30 : x
  2. Step 2: Convert to fraction form
    2,328.35/3,488.42 = 1,230.30/x
  3. Step 3: Cross multiply
    2,328.35x = 3,488.42 × 1,230.30
  4. Step 4: Simplify right side
    2,328.35x = 4,291,803.13
  5. Step 5: Solve for x
    x = 4,291,803.13/2,328.35
  6. Step 6: Final answer
    x = 1,843.28

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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.