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Finding the Fourth Proportional to 1,813.25, 2,483.53 and 1,706.86

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Solution

The fourth proportional to 1,813.25, 2,483.53 and 1,706.86 is: 2,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.25 : 2,483.53 = 1,706.86 : x
  2. Step 2: Convert to fraction form
    1,813.25/2,483.53 = 1,706.86/x
  3. Step 3: Cross multiply
    1,813.25x = 2,483.53 × 1,706.86
  4. Step 4: Simplify right side
    1,813.25x = 4,239,038.02
  5. Step 5: Solve for x
    x = 4,239,038.02/1,813.25
  6. Step 6: Final answer
    x = 2,337.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.