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Finding the Fourth Proportional to 2,473.97, 3,710.37 and 1,158.63

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Solution

The fourth proportional to 2,473.97, 3,710.37 and 1,158.63 is: 1,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.97 : 3,710.37 = 1,158.63 : x
  2. Step 2: Convert to fraction form
    2,473.97/3,710.37 = 1,158.63/x
  3. Step 3: Cross multiply
    2,473.97x = 3,710.37 × 1,158.63
  4. Step 4: Simplify right side
    2,473.97x = 4,298,945.99
  5. Step 5: Solve for x
    x = 4,298,945.99/2,473.97
  6. Step 6: Final answer
    x = 1,737.67

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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.