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Finding the Fourth Proportional to 2,678.64, 4,017.33 and 1,509.15

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Solution

The fourth proportional to 2,678.64, 4,017.33 and 1,509.15 is: 2,263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.64 : 4,017.33 = 1,509.15 : x
  2. Step 2: Convert to fraction form
    2,678.64/4,017.33 = 1,509.15/x
  3. Step 3: Cross multiply
    2,678.64x = 4,017.33 × 1,509.15
  4. Step 4: Simplify right side
    2,678.64x = 6,062,753.57
  5. Step 5: Solve for x
    x = 6,062,753.57/2,678.64
  6. Step 6: Final answer
    x = 2,263.37

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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.