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Finding the Fourth Proportional to 2,019.65, 3,025.22 and 924.94

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Solution

The fourth proportional to 2,019.65, 3,025.22 and 924.94 is: 1,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.65 : 3,025.22 = 924.94 : x
  2. Step 2: Convert to fraction form
    2,019.65/3,025.22 = 924.94/x
  3. Step 3: Cross multiply
    2,019.65x = 3,025.22 × 924.94
  4. Step 4: Simplify right side
    2,019.65x = 2,798,146.99
  5. Step 5: Solve for x
    x = 2,798,146.99/2,019.65
  6. Step 6: Final answer
    x = 1,385.46

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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.