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Finding the Fourth Proportional to 2,509.94, 3,763.63 and 1,470.17

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Solution

The fourth proportional to 2,509.94, 3,763.63 and 1,470.17 is: 2,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.94 : 3,763.63 = 1,470.17 : x
  2. Step 2: Convert to fraction form
    2,509.94/3,763.63 = 1,470.17/x
  3. Step 3: Cross multiply
    2,509.94x = 3,763.63 × 1,470.17
  4. Step 4: Simplify right side
    2,509.94x = 5,533,175.92
  5. Step 5: Solve for x
    x = 5,533,175.92/2,509.94
  6. Step 6: Final answer
    x = 2,204.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.