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Finding the Fourth Proportional to 2,894.56, 4,340.04 and 1,509.46

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Solution

The fourth proportional to 2,894.56, 4,340.04 and 1,509.46 is: 2,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.56 : 4,340.04 = 1,509.46 : x
  2. Step 2: Convert to fraction form
    2,894.56/4,340.04 = 1,509.46/x
  3. Step 3: Cross multiply
    2,894.56x = 4,340.04 × 1,509.46
  4. Step 4: Simplify right side
    2,894.56x = 6,551,116.78
  5. Step 5: Solve for x
    x = 6,551,116.78/2,894.56
  6. Step 6: Final answer
    x = 2,263.25

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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.