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Finding the Fourth Proportional to 1,562.75, 2,156.37 and 899.47

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Solution

The fourth proportional to 1,562.75, 2,156.37 and 899.47 is: 1,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.75 : 2,156.37 = 899.47 : x
  2. Step 2: Convert to fraction form
    1,562.75/2,156.37 = 899.47/x
  3. Step 3: Cross multiply
    1,562.75x = 2,156.37 × 899.47
  4. Step 4: Simplify right side
    1,562.75x = 1,939,603.10
  5. Step 5: Solve for x
    x = 1,939,603.10/1,562.75
  6. Step 6: Final answer
    x = 1,241.15

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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.