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Finding the Fourth Proportional to 1,525.58, 2,106.21 and 966.53

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Solution

The fourth proportional to 1,525.58, 2,106.21 and 966.53 is: 1,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.58 : 2,106.21 = 966.53 : x
  2. Step 2: Convert to fraction form
    1,525.58/2,106.21 = 966.53/x
  3. Step 3: Cross multiply
    1,525.58x = 2,106.21 × 966.53
  4. Step 4: Simplify right side
    1,525.58x = 2,035,715.15
  5. Step 5: Solve for x
    x = 2,035,715.15/1,525.58
  6. Step 6: Final answer
    x = 1,334.39

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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.