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Finding the Fourth Proportional to 2,389.63, 3,295.02 and 1,602.31

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Solution

The fourth proportional to 2,389.63, 3,295.02 and 1,602.31 is: 2,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.63 : 3,295.02 = 1,602.31 : x
  2. Step 2: Convert to fraction form
    2,389.63/3,295.02 = 1,602.31/x
  3. Step 3: Cross multiply
    2,389.63x = 3,295.02 × 1,602.31
  4. Step 4: Simplify right side
    2,389.63x = 5,279,643.50
  5. Step 5: Solve for x
    x = 5,279,643.50/2,389.63
  6. Step 6: Final answer
    x = 2,209.40

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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.