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Finding the Fourth Proportional to 3,668.84, 5,503.24 and 1,298.68

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Solution

The fourth proportional to 3,668.84, 5,503.24 and 1,298.68 is: 1,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.84 : 5,503.24 = 1,298.68 : x
  2. Step 2: Convert to fraction form
    3,668.84/5,503.24 = 1,298.68/x
  3. Step 3: Cross multiply
    3,668.84x = 5,503.24 × 1,298.68
  4. Step 4: Simplify right side
    3,668.84x = 7,146,947.72
  5. Step 5: Solve for x
    x = 7,146,947.72/3,668.84
  6. Step 6: Final answer
    x = 1,948.01

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1.5x scale

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.