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Finding the Fourth Proportional to 2,492.86, 3,440.94 and 1,608.65

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Solution

The fourth proportional to 2,492.86, 3,440.94 and 1,608.65 is: 2,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.86 : 3,440.94 = 1,608.65 : x
  2. Step 2: Convert to fraction form
    2,492.86/3,440.94 = 1,608.65/x
  3. Step 3: Cross multiply
    2,492.86x = 3,440.94 × 1,608.65
  4. Step 4: Simplify right side
    2,492.86x = 5,535,268.13
  5. Step 5: Solve for x
    x = 5,535,268.13/2,492.86
  6. Step 6: Final answer
    x = 2,220.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.