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Finding the Fourth Proportional to 2,907.03, 4,360.20 and 827.35

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Solution

The fourth proportional to 2,907.03, 4,360.20 and 827.35 is: 1,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.03 : 4,360.20 = 827.35 : x
  2. Step 2: Convert to fraction form
    2,907.03/4,360.20 = 827.35/x
  3. Step 3: Cross multiply
    2,907.03x = 4,360.20 × 827.35
  4. Step 4: Simplify right side
    2,907.03x = 3,607,411.47
  5. Step 5: Solve for x
    x = 3,607,411.47/2,907.03
  6. Step 6: Final answer
    x = 1,240.93

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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.