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Finding the Fourth Proportional to 2,324.77, 3,503.14 and 1,922.91

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Solution

The fourth proportional to 2,324.77, 3,503.14 and 1,922.91 is: 2,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.77 : 3,503.14 = 1,922.91 : x
  2. Step 2: Convert to fraction form
    2,324.77/3,503.14 = 1,922.91/x
  3. Step 3: Cross multiply
    2,324.77x = 3,503.14 × 1,922.91
  4. Step 4: Simplify right side
    2,324.77x = 6,736,223.15
  5. Step 5: Solve for x
    x = 6,736,223.15/2,324.77
  6. Step 6: Final answer
    x = 2,897.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.