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Finding the Fourth Proportional to 3,055.76, 4,580.72 and 974.62

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Solution

The fourth proportional to 3,055.76, 4,580.72 and 974.62 is: 1,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.76 : 4,580.72 = 974.62 : x
  2. Step 2: Convert to fraction form
    3,055.76/4,580.72 = 974.62/x
  3. Step 3: Cross multiply
    3,055.76x = 4,580.72 × 974.62
  4. Step 4: Simplify right side
    3,055.76x = 4,464,467.66
  5. Step 5: Solve for x
    x = 4,464,467.66/3,055.76
  6. Step 6: Final answer
    x = 1,461.00

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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.