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Finding the Fourth Proportional to 1,711.42, 2,361.75 and 925.45

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Solution

The fourth proportional to 1,711.42, 2,361.75 and 925.45 is: 1,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.42 : 2,361.75 = 925.45 : x
  2. Step 2: Convert to fraction form
    1,711.42/2,361.75 = 925.45/x
  3. Step 3: Cross multiply
    1,711.42x = 2,361.75 × 925.45
  4. Step 4: Simplify right side
    1,711.42x = 2,185,672.16
  5. Step 5: Solve for x
    x = 2,185,672.16/1,711.42
  6. Step 6: Final answer
    x = 1,277.11

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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.