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Finding the Fourth Proportional to 1,564.11, 2,157.77 and 900.79

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Solution

The fourth proportional to 1,564.11, 2,157.77 and 900.79 is: 1,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.11 : 2,157.77 = 900.79 : x
  2. Step 2: Convert to fraction form
    1,564.11/2,157.77 = 900.79/x
  3. Step 3: Cross multiply
    1,564.11x = 2,157.77 × 900.79
  4. Step 4: Simplify right side
    1,564.11x = 1,943,694.50
  5. Step 5: Solve for x
    x = 1,943,694.50/1,564.11
  6. Step 6: Final answer
    x = 1,242.68

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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.