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Finding the Fourth Proportional to 3,146.55, 4,717.54 and 954.08

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Solution

The fourth proportional to 3,146.55, 4,717.54 and 954.08 is: 1,430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.55 : 4,717.54 = 954.08 : x
  2. Step 2: Convert to fraction form
    3,146.55/4,717.54 = 954.08/x
  3. Step 3: Cross multiply
    3,146.55x = 4,717.54 × 954.08
  4. Step 4: Simplify right side
    3,146.55x = 4,500,905.86
  5. Step 5: Solve for x
    x = 4,500,905.86/3,146.55
  6. Step 6: Final answer
    x = 1,430.43

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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.