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Finding the Fourth Proportional to 2,877.07, 4,315.86 and 797.08

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Solution

The fourth proportional to 2,877.07, 4,315.86 and 797.08 is: 1,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.07 : 4,315.86 = 797.08 : x
  2. Step 2: Convert to fraction form
    2,877.07/4,315.86 = 797.08/x
  3. Step 3: Cross multiply
    2,877.07x = 4,315.86 × 797.08
  4. Step 4: Simplify right side
    2,877.07x = 3,440,085.69
  5. Step 5: Solve for x
    x = 3,440,085.69/2,877.07
  6. Step 6: Final answer
    x = 1,195.69

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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.