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Finding the Fourth Proportional to 3,602.99, 5,402.64 and 1,653.50

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Solution

The fourth proportional to 3,602.99, 5,402.64 and 1,653.50 is: 2,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.99 : 5,402.64 = 1,653.50 : x
  2. Step 2: Convert to fraction form
    3,602.99/5,402.64 = 1,653.50/x
  3. Step 3: Cross multiply
    3,602.99x = 5,402.64 × 1,653.50
  4. Step 4: Simplify right side
    3,602.99x = 8,933,265.24
  5. Step 5: Solve for x
    x = 8,933,265.24/3,602.99
  6. Step 6: Final answer
    x = 2,479.40

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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.