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Finding the Fourth Proportional to 2,074.95, 3,112.52 and 688.25

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Solution

The fourth proportional to 2,074.95, 3,112.52 and 688.25 is: 1,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.95 : 3,112.52 = 688.25 : x
  2. Step 2: Convert to fraction form
    2,074.95/3,112.52 = 688.25/x
  3. Step 3: Cross multiply
    2,074.95x = 3,112.52 × 688.25
  4. Step 4: Simplify right side
    2,074.95x = 2,142,172.89
  5. Step 5: Solve for x
    x = 2,142,172.89/2,074.95
  6. Step 6: Final answer
    x = 1,032.40

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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.