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Finding the Fourth Proportional to 3,041.42, 4,562.33 and 850.10

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Solution

The fourth proportional to 3,041.42, 4,562.33 and 850.10 is: 1,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.42 : 4,562.33 = 850.10 : x
  2. Step 2: Convert to fraction form
    3,041.42/4,562.33 = 850.10/x
  3. Step 3: Cross multiply
    3,041.42x = 4,562.33 × 850.10
  4. Step 4: Simplify right side
    3,041.42x = 3,878,409.67
  5. Step 5: Solve for x
    x = 3,878,409.67/3,041.42
  6. Step 6: Final answer
    x = 1,275.20

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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.