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Finding the Fourth Proportional to 1,527.23, 2,106.46 and 967.79

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Solution

The fourth proportional to 1,527.23, 2,106.46 and 967.79 is: 1,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.23 : 2,106.46 = 967.79 : x
  2. Step 2: Convert to fraction form
    1,527.23/2,106.46 = 967.79/x
  3. Step 3: Cross multiply
    1,527.23x = 2,106.46 × 967.79
  4. Step 4: Simplify right side
    1,527.23x = 2,038,610.92
  5. Step 5: Solve for x
    x = 2,038,610.92/1,527.23
  6. Step 6: Final answer
    x = 1,334.84

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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.