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Finding the Fourth Proportional to 2,366.64, 3,562.74 and 2,128.50

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Solution

The fourth proportional to 2,366.64, 3,562.74 and 2,128.50 is: 3,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.64 : 3,562.74 = 2,128.50 : x
  2. Step 2: Convert to fraction form
    2,366.64/3,562.74 = 2,128.50/x
  3. Step 3: Cross multiply
    2,366.64x = 3,562.74 × 2,128.50
  4. Step 4: Simplify right side
    2,366.64x = 7,583,292.09
  5. Step 5: Solve for x
    x = 7,583,292.09/2,366.64
  6. Step 6: Final answer
    x = 3,204.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.