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Finding the Fourth Proportional to 2,695.42, 4,041.16 and 845.53

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Solution

The fourth proportional to 2,695.42, 4,041.16 and 845.53 is: 1,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.42 : 4,041.16 = 845.53 : x
  2. Step 2: Convert to fraction form
    2,695.42/4,041.16 = 845.53/x
  3. Step 3: Cross multiply
    2,695.42x = 4,041.16 × 845.53
  4. Step 4: Simplify right side
    2,695.42x = 3,416,922.01
  5. Step 5: Solve for x
    x = 3,416,922.01/2,695.42
  6. Step 6: Final answer
    x = 1,267.68

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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.