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Finding the Fourth Proportional to 1,653.60, 2,480.41 and 421.01

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Solution

The fourth proportional to 1,653.60, 2,480.41 and 421.01 is: 631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.60 : 2,480.41 = 421.01 : x
  2. Step 2: Convert to fraction form
    1,653.60/2,480.41 = 421.01/x
  3. Step 3: Cross multiply
    1,653.60x = 2,480.41 × 421.01
  4. Step 4: Simplify right side
    1,653.60x = 1,044,262.91
  5. Step 5: Solve for x
    x = 1,044,262.91/1,653.60
  6. Step 6: Final answer
    x = 631.51

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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.