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Finding the Fourth Proportional to 2,897.60, 3,999.32 and 1,834.68

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Solution

The fourth proportional to 2,897.60, 3,999.32 and 1,834.68 is: 2,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.60 : 3,999.32 = 1,834.68 : x
  2. Step 2: Convert to fraction form
    2,897.60/3,999.32 = 1,834.68/x
  3. Step 3: Cross multiply
    2,897.60x = 3,999.32 × 1,834.68
  4. Step 4: Simplify right side
    2,897.60x = 7,337,472.42
  5. Step 5: Solve for x
    x = 7,337,472.42/2,897.60
  6. Step 6: Final answer
    x = 2,532.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.