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Finding the Fourth Proportional to 1,564.10, 2,157.99 and 900.93

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Solution

The fourth proportional to 1,564.10, 2,157.99 and 900.93 is: 1,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.10 : 2,157.99 = 900.93 : x
  2. Step 2: Convert to fraction form
    1,564.10/2,157.99 = 900.93/x
  3. Step 3: Cross multiply
    1,564.10x = 2,157.99 × 900.93
  4. Step 4: Simplify right side
    1,564.10x = 1,944,197.93
  5. Step 5: Solve for x
    x = 1,944,197.93/1,564.10
  6. Step 6: Final answer
    x = 1,243.01

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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.