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Finding the Fourth Proportional to 2,373.99, 3,561.31 and 730.67

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Solution

The fourth proportional to 2,373.99, 3,561.31 and 730.67 is: 1,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.99 : 3,561.31 = 730.67 : x
  2. Step 2: Convert to fraction form
    2,373.99/3,561.31 = 730.67/x
  3. Step 3: Cross multiply
    2,373.99x = 3,561.31 × 730.67
  4. Step 4: Simplify right side
    2,373.99x = 2,602,125.48
  5. Step 5: Solve for x
    x = 2,602,125.48/2,373.99
  6. Step 6: Final answer
    x = 1,096.10

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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.