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Finding the Fourth Proportional to 2,242.86, 3,095.12 and 1,234.53

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Solution

The fourth proportional to 2,242.86, 3,095.12 and 1,234.53 is: 1,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.86 : 3,095.12 = 1,234.53 : x
  2. Step 2: Convert to fraction form
    2,242.86/3,095.12 = 1,234.53/x
  3. Step 3: Cross multiply
    2,242.86x = 3,095.12 × 1,234.53
  4. Step 4: Simplify right side
    2,242.86x = 3,821,030.28
  5. Step 5: Solve for x
    x = 3,821,030.28/2,242.86
  6. Step 6: Final answer
    x = 1,703.64

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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.