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Finding the Fourth Proportional to 1,673.22, 2,309 and 1,001.10

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Solution

The fourth proportional to 1,673.22, 2,309 and 1,001.10 is: 1,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.22 : 2,309 = 1,001.10 : x
  2. Step 2: Convert to fraction form
    1,673.22/2,309 = 1,001.10/x
  3. Step 3: Cross multiply
    1,673.22x = 2,309 × 1,001.10
  4. Step 4: Simplify right side
    1,673.22x = 2,311,539.90
  5. Step 5: Solve for x
    x = 2,311,539.90/1,673.22
  6. Step 6: Final answer
    x = 1,381.49

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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.