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Finding the Fourth Proportional to 3,055.34, 4,581.29 and 974.86

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Solution

The fourth proportional to 3,055.34, 4,581.29 and 974.86 is: 1,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.34 : 4,581.29 = 974.86 : x
  2. Step 2: Convert to fraction form
    3,055.34/4,581.29 = 974.86/x
  3. Step 3: Cross multiply
    3,055.34x = 4,581.29 × 974.86
  4. Step 4: Simplify right side
    3,055.34x = 4,466,107.35
  5. Step 5: Solve for x
    x = 4,466,107.35/3,055.34
  6. Step 6: Final answer
    x = 1,461.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.