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Finding the Fourth Proportional to 1,683.64, 2,526.06 and 862.30

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Solution

The fourth proportional to 1,683.64, 2,526.06 and 862.30 is: 1,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.64 : 2,526.06 = 862.30 : x
  2. Step 2: Convert to fraction form
    1,683.64/2,526.06 = 862.30/x
  3. Step 3: Cross multiply
    1,683.64x = 2,526.06 × 862.30
  4. Step 4: Simplify right side
    1,683.64x = 2,178,204.60
  5. Step 5: Solve for x
    x = 2,178,204.60/1,683.64
  6. Step 6: Final answer
    x = 1,293.75

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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.