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Finding the Fourth Proportional to 2,025.07, 3,038.01 and 928.74

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Solution

The fourth proportional to 2,025.07, 3,038.01 and 928.74 is: 1,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.07 : 3,038.01 = 928.74 : x
  2. Step 2: Convert to fraction form
    2,025.07/3,038.01 = 928.74/x
  3. Step 3: Cross multiply
    2,025.07x = 3,038.01 × 928.74
  4. Step 4: Simplify right side
    2,025.07x = 2,821,521.41
  5. Step 5: Solve for x
    x = 2,821,521.41/2,025.07
  6. Step 6: Final answer
    x = 1,393.30

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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.