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Finding the Fourth Proportional to 2,408.81, 3,612.29 and 947.16

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Solution

The fourth proportional to 2,408.81, 3,612.29 and 947.16 is: 1,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.81 : 3,612.29 = 947.16 : x
  2. Step 2: Convert to fraction form
    2,408.81/3,612.29 = 947.16/x
  3. Step 3: Cross multiply
    2,408.81x = 3,612.29 × 947.16
  4. Step 4: Simplify right side
    2,408.81x = 3,421,411.86
  5. Step 5: Solve for x
    x = 3,421,411.86/2,408.81
  6. Step 6: Final answer
    x = 1,420.38

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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.