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Finding the Fourth Proportional to 2,455.64, 3,386.94 and 1,795.16

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Solution

The fourth proportional to 2,455.64, 3,386.94 and 1,795.16 is: 2,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.64 : 3,386.94 = 1,795.16 : x
  2. Step 2: Convert to fraction form
    2,455.64/3,386.94 = 1,795.16/x
  3. Step 3: Cross multiply
    2,455.64x = 3,386.94 × 1,795.16
  4. Step 4: Simplify right side
    2,455.64x = 6,080,099.21
  5. Step 5: Solve for x
    x = 6,080,099.21/2,455.64
  6. Step 6: Final answer
    x = 2,475.97

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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.