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Finding the Fourth Proportional to 3,041.45, 4,562.16 and 732.95

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Solution

The fourth proportional to 3,041.45, 4,562.16 and 732.95 is: 1,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.45 : 4,562.16 = 732.95 : x
  2. Step 2: Convert to fraction form
    3,041.45/4,562.16 = 732.95/x
  3. Step 3: Cross multiply
    3,041.45x = 4,562.16 × 732.95
  4. Step 4: Simplify right side
    3,041.45x = 3,343,812.36
  5. Step 5: Solve for x
    x = 3,343,812.36/3,041.45
  6. Step 6: Final answer
    x = 1,099.42

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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.