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Finding the Fourth Proportional to 2,407.60, 3,612.26 and 947.80

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Solution

The fourth proportional to 2,407.60, 3,612.26 and 947.80 is: 1,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.60 : 3,612.26 = 947.80 : x
  2. Step 2: Convert to fraction form
    2,407.60/3,612.26 = 947.80/x
  3. Step 3: Cross multiply
    2,407.60x = 3,612.26 × 947.80
  4. Step 4: Simplify right side
    2,407.60x = 3,423,700.03
  5. Step 5: Solve for x
    x = 3,423,700.03/2,407.60
  6. Step 6: Final answer
    x = 1,422.04

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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.