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Finding the Fourth Proportional to 2,463.12, 3,696.12 and 924.24

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Solution

The fourth proportional to 2,463.12, 3,696.12 and 924.24 is: 1,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.12 : 3,696.12 = 924.24 : x
  2. Step 2: Convert to fraction form
    2,463.12/3,696.12 = 924.24/x
  3. Step 3: Cross multiply
    2,463.12x = 3,696.12 × 924.24
  4. Step 4: Simplify right side
    2,463.12x = 3,416,101.95
  5. Step 5: Solve for x
    x = 3,416,101.95/2,463.12
  6. Step 6: Final answer
    x = 1,386.90

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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.