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Finding the Fourth Proportional to 2,824.90, 4,237.58 and 975.26

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Solution

The fourth proportional to 2,824.90, 4,237.58 and 975.26 is: 1,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.90 : 4,237.58 = 975.26 : x
  2. Step 2: Convert to fraction form
    2,824.90/4,237.58 = 975.26/x
  3. Step 3: Cross multiply
    2,824.90x = 4,237.58 × 975.26
  4. Step 4: Simplify right side
    2,824.90x = 4,132,755.30
  5. Step 5: Solve for x
    x = 4,132,755.30/2,824.90
  6. Step 6: Final answer
    x = 1,462.98

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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.