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Finding the Fourth Proportional to 2,648.98, 3,973.65 and 917.02

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Solution

The fourth proportional to 2,648.98, 3,973.65 and 917.02 is: 1,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.98 : 3,973.65 = 917.02 : x
  2. Step 2: Convert to fraction form
    2,648.98/3,973.65 = 917.02/x
  3. Step 3: Cross multiply
    2,648.98x = 3,973.65 × 917.02
  4. Step 4: Simplify right side
    2,648.98x = 3,643,916.52
  5. Step 5: Solve for x
    x = 3,643,916.52/2,648.98
  6. Step 6: Final answer
    x = 1,375.59

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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.