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Finding the Fourth Proportional to 2,398, 3,595.80 and 1,164.64

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Solution

The fourth proportional to 2,398, 3,595.80 and 1,164.64 is: 1,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398 : 3,595.80 = 1,164.64 : x
  2. Step 2: Convert to fraction form
    2,398/3,595.80 = 1,164.64/x
  3. Step 3: Cross multiply
    2,398x = 3,595.80 × 1,164.64
  4. Step 4: Simplify right side
    2,398x = 4,187,812.51
  5. Step 5: Solve for x
    x = 4,187,812.51/2,398
  6. Step 6: Final answer
    x = 1,746.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.