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Finding the Fourth Proportional to 1,562.85, 2,156.63 and 899.87

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Solution

The fourth proportional to 1,562.85, 2,156.63 and 899.87 is: 1,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.85 : 2,156.63 = 899.87 : x
  2. Step 2: Convert to fraction form
    1,562.85/2,156.63 = 899.87/x
  3. Step 3: Cross multiply
    1,562.85x = 2,156.63 × 899.87
  4. Step 4: Simplify right side
    1,562.85x = 1,940,671.36
  5. Step 5: Solve for x
    x = 1,940,671.36/1,562.85
  6. Step 6: Final answer
    x = 1,241.75

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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.