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Finding the Fourth Proportional to 2,461.99, 3,693.14 and 730.75

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Solution

The fourth proportional to 2,461.99, 3,693.14 and 730.75 is: 1,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.99 : 3,693.14 = 730.75 : x
  2. Step 2: Convert to fraction form
    2,461.99/3,693.14 = 730.75/x
  3. Step 3: Cross multiply
    2,461.99x = 3,693.14 × 730.75
  4. Step 4: Simplify right side
    2,461.99x = 2,698,762.06
  5. Step 5: Solve for x
    x = 2,698,762.06/2,461.99
  6. Step 6: Final answer
    x = 1,096.17

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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.