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Finding the Fourth Proportional to 1,684.29, 2,526.45 and 862.12

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Solution

The fourth proportional to 1,684.29, 2,526.45 and 862.12 is: 1,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.29 : 2,526.45 = 862.12 : x
  2. Step 2: Convert to fraction form
    1,684.29/2,526.45 = 862.12/x
  3. Step 3: Cross multiply
    1,684.29x = 2,526.45 × 862.12
  4. Step 4: Simplify right side
    1,684.29x = 2,178,096.50
  5. Step 5: Solve for x
    x = 2,178,096.50/1,684.29
  6. Step 6: Final answer
    x = 1,293.18

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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.