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Finding the Fourth Proportional to 1,653.03, 2,277.11 and 1,416.21

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Solution

The fourth proportional to 1,653.03, 2,277.11 and 1,416.21 is: 1,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.03 : 2,277.11 = 1,416.21 : x
  2. Step 2: Convert to fraction form
    1,653.03/2,277.11 = 1,416.21/x
  3. Step 3: Cross multiply
    1,653.03x = 2,277.11 × 1,416.21
  4. Step 4: Simplify right side
    1,653.03x = 3,224,860.95
  5. Step 5: Solve for x
    x = 3,224,860.95/1,653.03
  6. Step 6: Final answer
    x = 1,950.88

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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.