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Finding the Fourth Proportional to 2,039.40, 2,817 and 1,509.35

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Solution

The fourth proportional to 2,039.40, 2,817 and 1,509.35 is: 2,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.40 : 2,817 = 1,509.35 : x
  2. Step 2: Convert to fraction form
    2,039.40/2,817 = 1,509.35/x
  3. Step 3: Cross multiply
    2,039.40x = 2,817 × 1,509.35
  4. Step 4: Simplify right side
    2,039.40x = 4,251,824.87
  5. Step 5: Solve for x
    x = 4,251,824.87/2,039.40
  6. Step 6: Final answer
    x = 2,084.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.