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Finding the Fourth Proportional to 2,756.64, 3,804.30 and 1,709.04

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Solution

The fourth proportional to 2,756.64, 3,804.30 and 1,709.04 is: 2,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.64 : 3,804.30 = 1,709.04 : x
  2. Step 2: Convert to fraction form
    2,756.64/3,804.30 = 1,709.04/x
  3. Step 3: Cross multiply
    2,756.64x = 3,804.30 × 1,709.04
  4. Step 4: Simplify right side
    2,756.64x = 6,501,700.87
  5. Step 5: Solve for x
    x = 6,501,700.87/2,756.64
  6. Step 6: Final answer
    x = 2,358.56

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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.