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Finding the Fourth Proportional to 2,572.02, 3,858.44 and 928.40

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Solution

The fourth proportional to 2,572.02, 3,858.44 and 928.40 is: 1,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.02 : 3,858.44 = 928.40 : x
  2. Step 2: Convert to fraction form
    2,572.02/3,858.44 = 928.40/x
  3. Step 3: Cross multiply
    2,572.02x = 3,858.44 × 928.40
  4. Step 4: Simplify right side
    2,572.02x = 3,582,151.76
  5. Step 5: Solve for x
    x = 3,582,151.76/2,572.02
  6. Step 6: Final answer
    x = 1,392.74

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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.