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Finding the Fourth Proportional to 2,808.64, 4,211.68 and 1,509.76

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Solution

The fourth proportional to 2,808.64, 4,211.68 and 1,509.76 is: 2,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.64 : 4,211.68 = 1,509.76 : x
  2. Step 2: Convert to fraction form
    2,808.64/4,211.68 = 1,509.76/x
  3. Step 3: Cross multiply
    2,808.64x = 4,211.68 × 1,509.76
  4. Step 4: Simplify right side
    2,808.64x = 6,358,626.00
  5. Step 5: Solve for x
    x = 6,358,626.00/2,808.64
  6. Step 6: Final answer
    x = 2,263.95

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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.