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Finding the Fourth Proportional to 1,562.95, 2,157.11 and 973.67

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Solution

The fourth proportional to 1,562.95, 2,157.11 and 973.67 is: 1,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.95 : 2,157.11 = 973.67 : x
  2. Step 2: Convert to fraction form
    1,562.95/2,157.11 = 973.67/x
  3. Step 3: Cross multiply
    1,562.95x = 2,157.11 × 973.67
  4. Step 4: Simplify right side
    1,562.95x = 2,100,321.12
  5. Step 5: Solve for x
    x = 2,100,321.12/1,562.95
  6. Step 6: Final answer
    x = 1,343.82

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Why These Related Problems?

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