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Finding the Fourth Proportional to 2,407.78, 3,612.30 and 847.72

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Solution

The fourth proportional to 2,407.78, 3,612.30 and 847.72 is: 1,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.78 : 3,612.30 = 847.72 : x
  2. Step 2: Convert to fraction form
    2,407.78/3,612.30 = 847.72/x
  3. Step 3: Cross multiply
    2,407.78x = 3,612.30 × 847.72
  4. Step 4: Simplify right side
    2,407.78x = 3,062,218.96
  5. Step 5: Solve for x
    x = 3,062,218.96/2,407.78
  6. Step 6: Final answer
    x = 1,271.80

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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.