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Finding the Fourth Proportional to 1,562.49, 2,156.33 and 899.41

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Solution

The fourth proportional to 1,562.49, 2,156.33 and 899.41 is: 1,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.49 : 2,156.33 = 899.41 : x
  2. Step 2: Convert to fraction form
    1,562.49/2,156.33 = 899.41/x
  3. Step 3: Cross multiply
    1,562.49x = 2,156.33 × 899.41
  4. Step 4: Simplify right side
    1,562.49x = 1,939,424.77
  5. Step 5: Solve for x
    x = 1,939,424.77/1,562.49
  6. Step 6: Final answer
    x = 1,241.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.