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Finding the Fourth Proportional to 2,395.64, 3,301.98 and 1,895.96

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Solution

The fourth proportional to 2,395.64, 3,301.98 and 1,895.96 is: 2,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.64 : 3,301.98 = 1,895.96 : x
  2. Step 2: Convert to fraction form
    2,395.64/3,301.98 = 1,895.96/x
  3. Step 3: Cross multiply
    2,395.64x = 3,301.98 × 1,895.96
  4. Step 4: Simplify right side
    2,395.64x = 6,260,422.00
  5. Step 5: Solve for x
    x = 6,260,422.00/2,395.64
  6. Step 6: Final answer
    x = 2,613.26

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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.