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Finding the Fourth Proportional to 1,562.97, 2,157.36 and 933.93

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Solution

The fourth proportional to 1,562.97, 2,157.36 and 933.93 is: 1,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.97 : 2,157.36 = 933.93 : x
  2. Step 2: Convert to fraction form
    1,562.97/2,157.36 = 933.93/x
  3. Step 3: Cross multiply
    1,562.97x = 2,157.36 × 933.93
  4. Step 4: Simplify right side
    1,562.97x = 2,014,823.22
  5. Step 5: Solve for x
    x = 2,014,823.22/1,562.97
  6. Step 6: Final answer
    x = 1,289.10

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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.