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Finding the Fourth Proportional to 2,547.23, 3,820.70 and 673.07

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Solution

The fourth proportional to 2,547.23, 3,820.70 and 673.07 is: 1,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.23 : 3,820.70 = 673.07 : x
  2. Step 2: Convert to fraction form
    2,547.23/3,820.70 = 673.07/x
  3. Step 3: Cross multiply
    2,547.23x = 3,820.70 × 673.07
  4. Step 4: Simplify right side
    2,547.23x = 2,571,581.13
  5. Step 5: Solve for x
    x = 2,571,581.13/2,547.23
  6. Step 6: Final answer
    x = 1,009.56

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