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Finding the Fourth Proportional to 2,763.76, 3,814.12 and 1,585.48

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Solution

The fourth proportional to 2,763.76, 3,814.12 and 1,585.48 is: 2,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.76 : 3,814.12 = 1,585.48 : x
  2. Step 2: Convert to fraction form
    2,763.76/3,814.12 = 1,585.48/x
  3. Step 3: Cross multiply
    2,763.76x = 3,814.12 × 1,585.48
  4. Step 4: Simplify right side
    2,763.76x = 6,047,210.98
  5. Step 5: Solve for x
    x = 6,047,210.98/2,763.76
  6. Step 6: Final answer
    x = 2,188.04

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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.