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Finding the Fourth Proportional to 3,122.64, 4,688.08 and 2,864.76

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Solution

The fourth proportional to 3,122.64, 4,688.08 and 2,864.76 is: 4,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.64 : 4,688.08 = 2,864.76 : x
  2. Step 2: Convert to fraction form
    3,122.64/4,688.08 = 2,864.76/x
  3. Step 3: Cross multiply
    3,122.64x = 4,688.08 × 2,864.76
  4. Step 4: Simplify right side
    3,122.64x = 13,430,199.32
  5. Step 5: Solve for x
    x = 13,430,199.32/3,122.64
  6. Step 6: Final answer
    x = 4,300.91

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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.