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Finding the Fourth Proportional to 1,572, 2,361.64 and 1,134.60

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Solution

The fourth proportional to 1,572, 2,361.64 and 1,134.60 is: 1,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572 : 2,361.64 = 1,134.60 : x
  2. Step 2: Convert to fraction form
    1,572/2,361.64 = 1,134.60/x
  3. Step 3: Cross multiply
    1,572x = 2,361.64 × 1,134.60
  4. Step 4: Simplify right side
    1,572x = 2,679,516.74
  5. Step 5: Solve for x
    x = 2,679,516.74/1,572
  6. Step 6: Final answer
    x = 1,704.53

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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.