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Finding the Fourth Proportional to 1,684.10, 2,526.06 and 862.34

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Solution

The fourth proportional to 1,684.10, 2,526.06 and 862.34 is: 1,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.10 : 2,526.06 = 862.34 : x
  2. Step 2: Convert to fraction form
    1,684.10/2,526.06 = 862.34/x
  3. Step 3: Cross multiply
    1,684.10x = 2,526.06 × 862.34
  4. Step 4: Simplify right side
    1,684.10x = 2,178,322.58
  5. Step 5: Solve for x
    x = 2,178,322.58/1,684.10
  6. Step 6: Final answer
    x = 1,293.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.