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Finding the Fourth Proportional to 2,398.16, 3,310.28 and 1,466.32

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Solution

The fourth proportional to 2,398.16, 3,310.28 and 1,466.32 is: 2,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.16 : 3,310.28 = 1,466.32 : x
  2. Step 2: Convert to fraction form
    2,398.16/3,310.28 = 1,466.32/x
  3. Step 3: Cross multiply
    2,398.16x = 3,310.28 × 1,466.32
  4. Step 4: Simplify right side
    2,398.16x = 4,853,929.77
  5. Step 5: Solve for x
    x = 4,853,929.77/2,398.16
  6. Step 6: Final answer
    x = 2,024.02

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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.