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Finding the Fourth Proportional to 2,756.10, 3,804.02 and 1,747.16

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Solution

The fourth proportional to 2,756.10, 3,804.02 and 1,747.16 is: 2,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.10 : 3,804.02 = 1,747.16 : x
  2. Step 2: Convert to fraction form
    2,756.10/3,804.02 = 1,747.16/x
  3. Step 3: Cross multiply
    2,756.10x = 3,804.02 × 1,747.16
  4. Step 4: Simplify right side
    2,756.10x = 6,646,231.58
  5. Step 5: Solve for x
    x = 6,646,231.58/2,756.10
  6. Step 6: Final answer
    x = 2,411.46

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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.