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Finding the Fourth Proportional to 2,911.25, 4,017.53 and 1,669.25

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Solution

The fourth proportional to 2,911.25, 4,017.53 and 1,669.25 is: 2,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.25 : 4,017.53 = 1,669.25 : x
  2. Step 2: Convert to fraction form
    2,911.25/4,017.53 = 1,669.25/x
  3. Step 3: Cross multiply
    2,911.25x = 4,017.53 × 1,669.25
  4. Step 4: Simplify right side
    2,911.25x = 6,706,261.95
  5. Step 5: Solve for x
    x = 6,706,261.95/2,911.25
  6. Step 6: Final answer
    x = 2,303.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.