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Finding the Fourth Proportional to 2,892.76, 4,339.14 and 1,430.44

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Solution

The fourth proportional to 2,892.76, 4,339.14 and 1,430.44 is: 2,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.76 : 4,339.14 = 1,430.44 : x
  2. Step 2: Convert to fraction form
    2,892.76/4,339.14 = 1,430.44/x
  3. Step 3: Cross multiply
    2,892.76x = 4,339.14 × 1,430.44
  4. Step 4: Simplify right side
    2,892.76x = 6,206,879.42
  5. Step 5: Solve for x
    x = 6,206,879.42/2,892.76
  6. Step 6: Final answer
    x = 2,145.66

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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.