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Finding the Fourth Proportional to 2,353.48, 3,240.38 and 1,998.70

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Solution

The fourth proportional to 2,353.48, 3,240.38 and 1,998.70 is: 2,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.48 : 3,240.38 = 1,998.70 : x
  2. Step 2: Convert to fraction form
    2,353.48/3,240.38 = 1,998.70/x
  3. Step 3: Cross multiply
    2,353.48x = 3,240.38 × 1,998.70
  4. Step 4: Simplify right side
    2,353.48x = 6,476,547.51
  5. Step 5: Solve for x
    x = 6,476,547.51/2,353.48
  6. Step 6: Final answer
    x = 2,751.90

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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.