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Finding the Fourth Proportional to 3,088.96, 4,651.80 and 2,784.40

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Solution

The fourth proportional to 3,088.96, 4,651.80 and 2,784.40 is: 4,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.96 : 4,651.80 = 2,784.40 : x
  2. Step 2: Convert to fraction form
    3,088.96/4,651.80 = 2,784.40/x
  3. Step 3: Cross multiply
    3,088.96x = 4,651.80 × 2,784.40
  4. Step 4: Simplify right side
    3,088.96x = 12,952,471.92
  5. Step 5: Solve for x
    x = 12,952,471.92/3,088.96
  6. Step 6: Final answer
    x = 4,193.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.