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Finding the Fourth Proportional to 1,816.74, 2,725.86 and 646.90

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Solution

The fourth proportional to 1,816.74, 2,725.86 and 646.90 is: 970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.74 : 2,725.86 = 646.90 : x
  2. Step 2: Convert to fraction form
    1,816.74/2,725.86 = 646.90/x
  3. Step 3: Cross multiply
    1,816.74x = 2,725.86 × 646.90
  4. Step 4: Simplify right side
    1,816.74x = 1,763,358.83
  5. Step 5: Solve for x
    x = 1,763,358.83/1,816.74
  6. Step 6: Final answer
    x = 970.62

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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.