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Finding the Fourth Proportional to 1,557.10, 2,334.03 and 825.67

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Solution

The fourth proportional to 1,557.10, 2,334.03 and 825.67 is: 1,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.10 : 2,334.03 = 825.67 : x
  2. Step 2: Convert to fraction form
    1,557.10/2,334.03 = 825.67/x
  3. Step 3: Cross multiply
    1,557.10x = 2,334.03 × 825.67
  4. Step 4: Simplify right side
    1,557.10x = 1,927,138.55
  5. Step 5: Solve for x
    x = 1,927,138.55/1,557.10
  6. Step 6: Final answer
    x = 1,237.65

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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.