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Finding the Fourth Proportional to 2,445.16, 3,668.54 and 983.92

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Solution

The fourth proportional to 2,445.16, 3,668.54 and 983.92 is: 1,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.16 : 3,668.54 = 983.92 : x
  2. Step 2: Convert to fraction form
    2,445.16/3,668.54 = 983.92/x
  3. Step 3: Cross multiply
    2,445.16x = 3,668.54 × 983.92
  4. Step 4: Simplify right side
    2,445.16x = 3,609,549.88
  5. Step 5: Solve for x
    x = 3,609,549.88/2,445.16
  6. Step 6: Final answer
    x = 1,476.20

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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.