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Finding the Fourth Proportional to 2,478.08, 3,714.96 and 940.16

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Solution

The fourth proportional to 2,478.08, 3,714.96 and 940.16 is: 1,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.08 : 3,714.96 = 940.16 : x
  2. Step 2: Convert to fraction form
    2,478.08/3,714.96 = 940.16/x
  3. Step 3: Cross multiply
    2,478.08x = 3,714.96 × 940.16
  4. Step 4: Simplify right side
    2,478.08x = 3,492,656.79
  5. Step 5: Solve for x
    x = 3,492,656.79/2,478.08
  6. Step 6: Final answer
    x = 1,409.42

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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.