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Finding the Fourth Proportional to 3,054.59, 4,582.58 and 974.72

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Solution

The fourth proportional to 3,054.59, 4,582.58 and 974.72 is: 1,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.59 : 4,582.58 = 974.72 : x
  2. Step 2: Convert to fraction form
    3,054.59/4,582.58 = 974.72/x
  3. Step 3: Cross multiply
    3,054.59x = 4,582.58 × 974.72
  4. Step 4: Simplify right side
    3,054.59x = 4,466,713.18
  5. Step 5: Solve for x
    x = 4,466,713.18/3,054.59
  6. Step 6: Final answer
    x = 1,462.29

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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.