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Finding the Fourth Proportional to 1,529.64, 2,110.88 and 866.50

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Solution

The fourth proportional to 1,529.64, 2,110.88 and 866.50 is: 1,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.64 : 2,110.88 = 866.50 : x
  2. Step 2: Convert to fraction form
    1,529.64/2,110.88 = 866.50/x
  3. Step 3: Cross multiply
    1,529.64x = 2,110.88 × 866.50
  4. Step 4: Simplify right side
    1,529.64x = 1,829,074.41
  5. Step 5: Solve for x
    x = 1,829,074.41/1,529.64
  6. Step 6: Final answer
    x = 1,195.75

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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.