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Finding the Fourth Proportional to 1,562.86, 2,157.17 and 899.81

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Solution

The fourth proportional to 1,562.86, 2,157.17 and 899.81 is: 1,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.86 : 2,157.17 = 899.81 : x
  2. Step 2: Convert to fraction form
    1,562.86/2,157.17 = 899.81/x
  3. Step 3: Cross multiply
    1,562.86x = 2,157.17 × 899.81
  4. Step 4: Simplify right side
    1,562.86x = 1,941,044.03
  5. Step 5: Solve for x
    x = 1,941,044.03/1,562.86
  6. Step 6: Final answer
    x = 1,241.98

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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.